Let g be the piecewise defined function shown.


g(x)=

x + 4, −5 ≤ x ≤ −1

2 − x, −1 < x ≤ 5


Evaluate g at different values in its domain.


g(−4) =


g(−2) =


g(0) =


g(3) =


g(4) =

Answers

Answer 1

Answer:

Yup 0,2,2,-1,-2

Step-by-step explanation:

Edg 2020

Answer 2

The value of g(-4) for the given function g(x)=x+4 is 0.

What are piecewise functions?

Piecewise functions are functions that have multiple pieces, or sections. They are defined piece by piece, with various functions defining each interval. Piecewise functions can be split into as many pieces as necessary. Each piece behaves differently based on the input function for that interval. Pieces may be single points, lines, or curves.

For −5 ≤ x ≤ −1

Lets take all range of values of x

g(-5) = x + 4 = -5 + 4 = -1

g(-4) = x + 4 = -4 + 4 = 0

g(-3) = x + 4 = -3 + 4 = 1

g(-2) = x + 4 = -2 + 4 = 2

g(-1) = x + 4 = -1 + 4 = 3

For −1 < x ≤ 5

Lets take all range of values of x

g(0) = 2 - x = 2 - 0 = 2

g(1) = 2 - x= 2 - 1 = 1

g(2) = 2 - x= 2 - 2 = 0

g(3) = 2 - x= 2 - 3 = -1

g(4) = 2 - x= 2 - 4 = -2

g(5) = 2 - x= 2 - 5 = -3

Therefore, the value of g(-4) for the given function g(x)=x+4 is 0.

Learn more about the piecewise function here:

https://brainly.com/question/12700952.

#SPJ3


Related Questions

I need some help. Could someone explain it to me?​

Answers

A relation between two variables a and b is a rule that takes some values a from a domain set and returns some value b in the range set.

The table says that, if you give 0, the relation returns 2. If you give 1, you get 6. If you give 4, you get -9. If you give 8, you get 8 back.

The domain is the set of values the relation can take, so here it is the set {0, 1, 4, 8}.

From the given choices, only 0 belongs to the domain.

Will give brainliest! plz answer!!

Answers

a. If there are only green and yellow M & M’s in the bag, what is the smallest number of
M & M’s possible? 7 M & M’s total
b. If there are 84 M & M’s in the bag all together, how many are green? 24 green ones
c. If red M & M’s were added to the bag in part b to get a total of 100, what is the ratio of green to yellow to red? 6: 15: 4

PLZ HELP WILL GIVE BRAINLIST its for my 9 weeks exam plzzzz


Dana has 8 baseball cards, 10 football cards, 4 hockey cards, and 14 basketball cards. All the cards are the same size and shape. Dana will select one card at random. What is the probability that the card selected will be a hockey card?

A. 1/2
B. 1/4
C. 1/9
D. 1/36

Answers

Answer: The probability of Dana selecting a hockey card will be a 4/36 or 1/9.

Work:

1.I added all of the cards together.

2.I saw that the number of hockey cards was 4 and divided it by 36 (the total number of cards)

3.Simplified

Multiply the following binomials together :(x+1)(x+3)

Answers

Answer:

x²+4x+3

Step-by-step explanation:

(x+1)(x+3)

x²+3x+1x+3

x²+4x+3

HE is 1/3 the length of HG , HE=x-3 and HG=4x-15 find HE

Answers

Answer:

x=24

Step-by-step explanation:

HE= 1/3(HG)

x-3=1/3(4x-15)

3x-9=4x-15

-x=-24

x=24

Answer:

HE=3

Step-by-step explanation:

Equations

With the data provided, we can set up an equation. Then we need to solve the equation. Finally, we use the just-found value of x to calculate HE.

Data:

HE=1/3 HG

HE=x-3

HG=4x-15

Replacing the last two equations in the first:

x-3=1/3(4x-15)

Multiply both sides by 3:

3(x-3)=4x-15

Operate:

3x-9=4x-15

Moving x's to the left and numbers to the right:

3x-4x=-15+9

Joining like terms:

-x=-6

Multiply by -1:

x=6

Since HE= x-3:

HE=6-3

HE=3

There are 60 students in a speech contest. Yesterday, 2/3 of them gave their speeches. Today, 3/5 of the remaining students gave their speeches. How many students still haven't given their speeches?

Answers

Answer:

2\3x60=40

3\5x20=12

12+40=52

60-52=8

PLEASE HELP ME I NEED THE ANSWER VERY BADLY JUST PLEASE GIVE ME THE ANSWER CHOICE AND DONT GUESS!!!!!!!!!!!!!!
the equations below are representations of linear equations in two variables.
I. y=-2/3x+4
II. y-2=2/3(x-9)
III. 2x+3y=12.

Which linear equation(s) in two variables represent a line that contains the point(9,-2) and with a slope of -2/3?

A. I,II and III
B. I and II only
C. I and III only
D. II and III only

Answers

Answer:

ITS B

Step-by-step explanation:

HOPEFULLY THIS WORKS!!!

What is the expected value of one spin? Is it fair? Why or why not? Correct answer gets Brainliest!

Answers

Answer:

n

Step-by-step explanation:

n

Please help! Find the missing side lengths. If you must round 1 decimal place.

Answers

Answer:

x=1.6

y=4.8

z=9

Step-by-step explanation:

Answer:

X=12.5

Y=3.2

Z=6

Step-by-step explanation:

1 inch= 2.54 cm
How many centimeters equal 5 feet?
762 cm
300 cm
152.4 cm
12.7 cm

Answers

Answer:

152.4 cm is the answer

Step-by-step explanation:

Answer:

152.4cm

Step-by-step explanation:

A downhill skier was able to move 560 meters in 25 seconds. What is the skier’s average speed? (Round your answer to the nearest tenth of a meter per second.)

Answers

Answer:

20 m/s

Step-by-step explanation:

560 m/25 s

=22.4 m/s

≈ 20 m/s ( nearest tenth of m/s )

Answer:

22.4

Step-by-step explanation:

Just divide 560 by 25 .

please see the picture .......................

Answers

Answer:

B

Explanation: dont got one

Simultaneous liner equations
X+y=20
22x+12y=300

The answer is x=6 and y=14

I just need the steps

Answers

Answer:

You already know the answers

Step-by-step explanation:

I did the work to show you how i got there. It took a little time to get there, if you don't understand how i got there, then don't be afraid to ask me a question

-2^2= 4 or -4??

i will give brainly ​

Answers

Answer:

4

Step-by-step explanation:

I am assuming you mean (-2)^2 and not -(2)^2, correct.

If i m wrong in the assumption and its the latter one, then it is -4 since you are taking the - of 4

Answer:

-4

Step-by-step explanation:

[tex]-2^2=-4\ \text{because}\ -2^2=-(2\cdot2)=-4\\\\(-2)^2=4\ \text{because}\ (-2)^2=(-2)(-2)=4[/tex]

The parentheses are very important here.

The same in

[tex]\dfrac{2}{3}^2=\dfrac{4}{3}\\\\\left(\dfrac{2}{3}\right)^2=\dfrac{4}{9}[/tex]

A fraction is ?

Please help

Answers

Answer:

In mathematics, a fraction is a number that represents a part of a whole. It consists of a numerator and a denominator. The numerator represents the number of equal parts of a whole, while the denominator is the total number of parts that make up said whole

Answer:

A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.

Ryan has 9 lollipops and 5 chocolate bars. What is the ratio of lollipops to chocolate bars?

Answers

Answer:

9:5

ratios are just putting the numbers next to each other with ':' in the middle

Step-by-step explanation:

Consider the figure below. Line FG is parallel to line JK.
Part A:Solve for a justify your answer
Part B:Determine m< FNT
Part C:Determine m

Answers

Answer:

A. a = 10

B. m<FNT = 120°

C. m<KTU = 60°

Step-by-step explanation:

A. (7a + 50)° and (14a - 20)° are corresponding angles. Therefore:

(7a + 50)° = (14a - 20)°

Use this equation to find the value of a

7a + 50 = 14a - 20

Combine like terms

7a - 14a = - 50 - 20

-7a = -70

Divide both sides by -7

-7a/-7 = -70/-7

a = 10

B. m<FNT = (14a - 20)° (alternate interior angles are congruent)

Plug in the value of a

m<FNT = 14(10) - 20

m<FNT = 140 - 20

m<FNT = 120°

C. m<KTU + (14a - 20)° = 180° (linear pair)

Plug in the value of a

m<KTU + 14(10) - 20 = 180

m<KTU + 120 = 180

m<KTU + 120 - 120 = 180 - 120

m<KTU = 60°

A linear function and a quadratic function both have a domain of all real numbers.
True
False
?

Answers

Answer: True

Explanation: The domain of a quadratic function in standard format is always all real numbers, meaning you can substitute any real number for x. The range of a function is the set of all real values of y that you can get by plugging real numbers into x.

Linear function is almost always going to be all real numbers. The range of a non-horizontal linear function is all real numbers no matter how flat the slope might look.

true....
the range of the function shows all real values

Proof practice for geometry!
Need Help!

Answers

idek dwjejdjjriiwknansns

Step-by-step explanation:

nmjwjw

Need helppp plsss. It’s due today

Answers

Here you go. Basically you are finding the slope of the line. So you use the formula. Y2-Y1 on top of X2-X1.

Simplify ( -5r² ) (-6r³ )

A -30r⁶
B -30r
C 30r⁶
D 30r⁵

please help...

Answers

the answer is d. 30r^5

i really need help fast!!

Answers

Answer:

16, 5, 28

Step-by-step explanation:

1 liter is equal to 4 servings

An interior wall of a building is made up of metal studs

Answers

Answer:

4 5/8"

Step-by-step explanation:

quizlet will have all the answers btw

I needdd helpppppp what is m<2+m<3?

Answers

In triangle ABC:

∠1 = 90°

According to the angle sum property:

∠1 + ∠2 + ∠3 = 180

Since angle 1 is 90 degrees

∠2 + ∠3 = 180 - 90

∠2 + ∠3 = 90°    [∠1 + ∠2 + ∠3 = 180]

Translate this sentence into an equation.
The sum of 14 and Greg's height is 64.
Use the variable g to represent Greg's height.

Answers

Answer:

g+14=64

Step-by-step explanation:

Answer:

64=14+g

Step-by-step explanation:

Sum of two numbers is 64, so that means you put 64 before the equals sign. All that remains is g and 14. It says the sum of 14 and g (gregs height) equals 64, so you know that in the equation they have to be added together.

Please help with is !!!!!!!!

Answers

Answer is X=16. Y=16

a rectangular suitcase measure 24 inches long and the diagonal is 30 inches long. the zipper covers the entire perimeter of the suitcase. how many inches of the zipper was needed to cover the perimeter of the suitcase?

Answers

Given parameters:

Length of the suitcase  = 24 inches

Length of the diagonal = 30 inches

Unknown:

Length of zipper required to cover the perimeter  = ?

The length of this zipper is the same as the perimeter of the rectangular suitcase.

  Perimeter of a rectangle  = 2(L + B)

where L is the length and B is the breadth

Now, let us find the find the unknown breadth;

  Using Pythagoras theorem;

           30²  = 24² + Breadth²

            Breadth²  = 30² - 24²  = 324

             Breadth = √324  = 18 inches

Perimeter of the suitcase  = 2(24 + 18)  = 84 inches.

The length of zipper that will cover this suitcase is 84inches.

5х + 2y — 7z help ? PleAse need it rn

Answers

Answer:

16

Step-by-step explanation:

5x + 2y - 7z    

(x = 2, y = 10, z = 2)

First things first you would want to take the letters that the numbers are equal to and replace them with the numbers.

5(2) + 2(10) - 7(2)

Then you multiply the number that's beside the parentheses, 5(2) is the same as 5 x 2.

5(2) = 10

2(10) = 20

7(2) = 14

so now you have

10 + 20 - 14

10 + 20 = 30

30 - 14 = 16

and 16 is your final answer!

On a coordinate plane, 2 trapezoids are shown. Trapezoid 1 has points A (negative 4, 3), B (1, 3), C (0, 0), and D (negative 3, 0). Trapezoid 2 has points A prime (negative 1, 1), B prime (4, 1), C prime (3, negative 2), and D prime (0, negative 2).
Which rule describes the translation?

it is c

Answers

Answer:

Horizontal shift by 3 units right and vertical shift by 2 units down or(x, y) → (x + 3, y -2)

Step-by-step explanation:

Given

Trapezoid 1 with vertices

A(-4, 3), B(1, 3), C(0, 0), D(-3, 0)

and

Trapezoid 2 with vertices

A'(-1, 1), B'(4, 1), C'(3, -2), D'(0, -2)

It can be observed by comparison that:

x-values have increased by 3 units

and

y-values have decreased by 2 units

So the rule of translation is:

Horizontal shift by 3 units right and vertical shift by 2 units down(x, y) → (x + 3, y -2)

Answer:

3 units right, 2 units down(x, y) = (x + 3, y - 2)

Step-by-step explanation:

another way is by graphing. (see attached)

the translation is:

   3 units right, 2 units down.

or (x, y) = (x + 3, y - 2)

(g + 12) ÷ h



Answer please

Answers

Answer:

g+12/4

Step-by-step explanation:

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