Mathematics High School

Determine whether each function is even, odd, or neither.
f(x) = x²_9

g(x) = |x-3

f(x) = 22-1

g(x) = x + x2

Determine Whether Each Function Is Even, Odd, Or Neither.f(x) = X_9g(x) = |x-3f(x) = 22-1g(x) = X + X2

Answers

Answer 1

Rule for even

[tex]\\ \sf\longmapsto \boxed{\sf f(-x)=f(x),x\in D_f}[/tex]

Rule for odd

[tex]\\ \sf\longmapsto \boxed{\sf f(-x)=-f(x),D_f}[/tex]

Here D_f means domain of function.

#1

[tex]\\ \sf\longmapsto f(x)=\sqrt{x^2}-9[/tex]

Take x=4

[tex]\\ \sf\longmapsto f(4)=\sqrt{4^2}-9=4-9=-5[/tex]

[tex]\\ \sf\longmapsto f(-4)=\sqrt{(-4)^2}=4-9=-5[/tex]

Even function✓

#2

[tex]\\ \sf\longmapsto g(x)=|x-3|[/tex]

Take x=2

[tex]\\ \sf\longmapsto g(2)=|2-3|=|-1|=1[/tex]

[tex]\\ \sf\longmapsto g(-2)=|-2-3|=|-5|=5[/tex]

[tex]\\ \sf\longmapsto -g(2)=-1[/tex]

Odd function✓

#3

[tex]\\ \sf\longmapsto f(x)=\dfrac{x}{x^2-1}[/tex]

Take x=3

[tex]\\ \sf\longmapsto f(3)=\dfrac{3}{3^2-1}=\dfrac{3}{9-1}=\dfrac{3}{8}[/tex]

[tex]\\ \sf\longmapsto f(-3)=\dfrac{-3}{(-3)^2-1}=\dfrac{-3}{8}[/tex]

[tex]\\ \sf\longmapsto -f(3)=\dfrac{-3}{8}[/tex]

Odd function ✓

#4

[tex]\\ \sf\longmapsto g(x)=x+x^2[/tex]

Take x=1

[tex]\\ \sf\longmapsto g(1)=1+(1)^2=2[/tex]

[tex]\\ \sf\longmapsto g(-1)=-1+(-1)^2=0[/tex]

[tex]\\ \sf\longmapsto -g(1)=-2[/tex]

Neither✓

Related Questions

PLEASE HURRY THIS IS TIMED !!!!

Answers

Answer:

c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

What is the domain and range of the function below

Answers

Domain is [+7,+infinity[

Heather and her friends are painting the
walls of a storage room in the basement.
Each wall is 9 m long and 2 m high. There
are two doors, each 1 m wide and 2 m
high. The doors are not being painted. A)One litre of paint covers 10 m². How
many litres will heater need?
B) the price of the paint is $3.75/L. How much will the paint cost?

Answers

Answer:

a) 6.8 L, b) $25.50

Step-by-step explanation:

Find the area to be painted:

4*(9*2) - 2*(1*2) =72 - 4 =68 m²

a) Paint needed:

68/10 = 6.8 L

b) Cost of paint:

6.8*$3.75 = $25.50

Alex paid $9 to park her car for 2 hours. Write an equation that shows the relationship between p, the numbers of hours parked, and c, the cost in dollars.

Answers

Answer:

Step-by-step explanation:

Parking charge for 2 hours = $ 9

Parking charge for 1 hour = 9/2 = $ 4.50

c = 4.50*p

c = 4.5p

helppp plz is fue today
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Answers

Answer:

Step-by-step explanation:

A CHOOSE A

Answer:

A

Step-by-step explanation:

 sorry:c

How many lines of symmetry does the figure have? ​

Answers

Answer:

9

Step-by-step explanation:

just count it!!

hope its help

Answer: 9 draw imaginary lines on it and you’ll get it

GUESSS WHO'S REPEATING HER REQUEST, LET'S GOOOO HEYOOOOOO, HELLOOOO, PLEASE LOOK HERE, HELP NEEDED, LIKE NOW LOLOLOL Factor this expression completely, then place the factors in the proper location on the grid.
1/8 x^3 - 1/27 y^3

Answers

Answer:

(3x-2y)(9x²+6xy+4y²)/216

Step-by-step explanation:


How would you best describe the angle pair
<3 and <8

Answers

Answer:

Vertical angles

Find the equation of the line that goes through the points (4, –1) and (2, –5).
Use slope formula,m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction,to find the slope of a line that passes through the points.
m =
Use slope-intercept form, y = mx + b, to find the y-intercept (b) of the line.
b =
Write the equation in slope-intercept form, y = mx + b.

Answers

Answer:

y= 2x -9

Step-by-step explanation:

Slope-intercept form

y= mx +c, where m is the slope and c is the y-intercept.

[tex]\boxed{slope = \frac{ y_{1} - y_2}{x_1 - x_{2}} }[/tex]

Slope

[tex] = \frac{ - 1 - ( - 5)}{4 - 2} [/tex]

[tex] = \frac{ - 1 + 5}{2} [/tex]

[tex] = \frac{4}{2} [/tex]

= 2

Substitute m= 2 into the equation:

y= 2x +c

To find the value of c, substitute a pair of coordinates.

When x= 4, y= -1,

-1= 2(4) +c

-1= 8 +c

c= -1 -8

c= -9

Thus, the equation of the line is y= 2x -9.

1. You have two pieces of tape of 56 metres and 56 metres in length. If you connect both pieces together end-to-end, how long is your new piece of tape?​

Answers

Answer:

Step-by-step explanation:

If the two pieces of tape are truly placed end-to-end, there will be no tape at the joint to connect the two pieces.  In the real world, one of the 56 m pieces will have to overlap one end of the other piece to make up a single new piece of tape whose length must be a little less than 2(56 m), or a lilttle less than 112 m.  There is no one specific correct answer because the experimenters vary in how much tape overlap to allow.

The new tape would measure 112m after the two fragments are joined.

What is addition?

Addition is one of the four basic operations of arithmetic, the other three being subtraction, multiplication and division. The addition of two whole numbers results in the total amount or sum of those values combined.

Given:

A piece of tape 56 m long and we are to add another 56 m

Thus the sum of these two tapes is equal to 56+56=112 m

Hence, the new tape is 112m long.

Learn more about addition here:

https://brainly.com/question/29560851

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Andrea has 473 scented stickers in her sticker book. How many tens of stickers does Andrea have?

7

40

47

70

Answers

Answer:

Andrea has 70

Step-by-step explanation:

7 is the tens place that would make it 70

Answer:

47

Step-by-step explanation:

Given:

473 scented stickers

To Find:

How many tens of stickers does Andrea have?

Solution:

To find the answer divided 473 by 10 = 47.3

That mean Andrea have 47 tens of stickers.

Therefore the answer is 47

Similar triangle Scale factor 3:4 and x=16

Answers

Step-by-step explanation:

a factor is something you multiply with.

so,

16 × 3/4 = 12

so, the corresponding side to x in the similar triangle is 12 units long.

akiko sells 5 small paintings and 5 large paintings .Each large painting cost $20 more than a small painting .she earns $300. what is the price of a small painting

Answers

Answer:

$20

Step-by-step explanation:

small painting: x

large painting: x + 20

5(x + x + 20) = 300

5(2x + 20) = 300

10x + 100 = 300

10x = 200

x = 20

Answer: $20

10-25 in negative form

Answers

-15 i pretty positive it is that

Have a good day

I hope this helps stay positive get it negative positive

what do you call two guys that like math B)

Answers

Answer:

Step-by-step explanation:

Math nerds, algebros?

1. write a mathematical expression that explains the following sentence:

The sum of 4 and d, then multiply the result by 2

Answers

Answer:

(4 + d) × 2

Step-by-step explanation:

2(4+D)

Use pemdas to evaluate the equation

Sam is 4 years younger than Linda. The sum of their ages is 28. Find both Sam and Linda’s age and show your work.

Answers

Answer:

Sam = 6 years

Linda = 22 years

Step-by-step explanation:

this is best solved by using an algebraic equation

let Sam's age be x

let Linda's age be 4x

now that we defines our variables let's make an algebraic equation

the sum of their ages is 28 so

4x + x = 28

combine like terms

5x = 28

find for x

x = 28÷ 5 = 5.6 (don't approximate yet let's take the raw age)

Sam is 5.6 years

Linda is 4 years older so we multiply Sam's age by 4

4 × 5.6 = 22.4

Linda is 22.4 years

now let's round our answers to the nearest whole

5.6 ~ 6 years

22.4 ~ 22 years

let's double check and add our answers now

22 + 6 = 28

the answer is correct

please help ASAP WHOSOEVERS first will be marked brainliest thank you
When you type the answers i ask please dont send any links pictures are fine but please make it visible and readable
I prefer you type your answers in the text box
please make it make sense
Thank you so much for helping me you do not have to solve the whole thing but if you can AWESOME

Answers

Answer:

why

Step-by-step explanation:

why

Please arrange these numbers in descending order for me
7.23, 7.32, 7.3, 73

Answers

Answer:

73

7.32

7.23

7.3

hope this helps☆☆

6 (x + 2)^12 - 8 = 64

Answers

i think the answer is x=-1

Jack spent $22 at Petco. He bought a Betta fish for f dollars and other supplies for $14.57. What is the cost of the Betta fish.

Answers

Answer:

7.43

Step-by-step explanation:

22 - 14.57 = 7.43

PLS ANSWER QUICK AND SHOW WORK

Mrs. McDonnell makes $30 an hour. Today she
worked 5 hours. In addition, she earned 28% of the
$800 in socks that she sold. How much total did you
make for the day?

Answers

Step-by-step explanation:

30×5=150 and 800×28%=224

total earned $374.

Help me on this, please?

Answers

Answer:

angle 6 is 117

angle 7 is 63

Step-by-step explanation:

to solve the equation, x+5=12, what property do you use?

Answers

Answer: inverse operation, subtraction

Step-by-step explanation: The key insight here is that we want to solve for x , and in doing so, we need to undo any operation being applied to it. Right now, only 5 is being added to it, so to solve for it, we need to do the inverse operation, subtraction

If you mean this: How to solve multiplication property of equality?

Multiplication Property of Equality

For all real numbers a, b, and c: If a = b, then a • c = b • c (or ab = ac).

I hope this is right :)

100 students are interviewed to see which of biology, chemistry or physics they prefer.
41 of the students are girls. 32 of the girls like biology best.
24 of the boys prefer physics.
6 out of the 25 who prefer chemistry are girls.
What percentage of the students prefer biology?

Answers

Answer:

48% of students prefer biology

Step-by-step explanation:

the absolute value of n^2 if n<0

Answers

Answer:

Step-by-step explanation:

Find the perimeter. Simplify your answer.

Answers

Answer:

The answer would be simplified as 24b + 2

A chef uses 7
7
cups of tomatoes per batch to make pasta sauce.

Choose the equation that models the situation, where
t
represents the number of cups of tomatoes and
n
represents the number of batches of sauce.

Answers

Answer:

t=7n

because for 1 batch is 7 cups so let's say you made 3 batchs 3*7= 21 cups.

The correct equation that models the situation is t = 7n. Hence option 4 is true.

Given that;

A chef uses 7 cups of tomatoes per batch to make pasta sauce.

Let us assume that;

t represents the number of cups of tomatoes.

And, n represents the number of batches of sauce.

Hence the equation that models the situation is,

t = 7n

Therefore, option 4 is true.

To learn more about the equation visit:

brainly.com/question/28871326

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1.) 5/11 = 2.) 6/8 = 3.) 8/13 = 4.) 4/9 = 5.)
p 7/15=​

Answers

Answer:

1. 5/11 = five elevenths = 5:11

2. 6/8 = six eighths = 6:8

3. 8/13 = eight thirteenths = 8:13

4. 4/9 = four ninths = 4:9

5. 7/15 = seven fifteenths = 7/15

Step-by-step explanation:

1. To convert numerical fractions into word form, here are a few tips:

Write the numerator of the fraction spelled out exactly as it appears as a number (for example, if the numerator is 5, you spell out the word "five") Write the denominator of the fraction like you would write ranking for a contest (for example, if the denominator is 11, you write it as eleventh)

2. To convert a fraction into colon form, here are a few tips:

Remember, fractions are ratios. Ratios can be written as x : y.The ratio compares the numerator to the denominator, having the numerator to the left side of the colon and the denominator on the right side. (For example, if the fraction is 6/8, the colon form is 6 : 8).

Please help me on this

Answers

Answer:

1st dot: 195,3

2nd dot : 390,6

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