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3.1-3.3 Review

Total questions: 12

Worksheet time: 13mins

Name
Class
Date
1.

Identify the Domain of the function.

a)

{5-2,1,5}

b)

{10,11,4,10}

c)

{1,-2,1,5}

d)

{11,10,4}

2.

Which of these relations are functions? Select all that apply.

a)
b)
c)
d)
3.

Select all that apply that classify this graph

a)

Relation

b)

Function

c)

One-to-One

d)

Discrete

e)

Continuous

4.

Write a linear function for the data in the table.

a)

y=−5x+1y=-5x+1

b)

y=15x−1y=\frac{1}{5}x-1

c)

y=5x−1y=5x-1

d)

y=1x+4y=1x+4

5.

Find the value of f(5) for the following equation. f(a)=3(a+2)−1f\left(a\right)=3\left(a+2\right)-1  

a)

 f(a) =−3(5+2)−1f\left(a\right)\ =-3\left(5+2\right)-1  

b)

 f(a)= 20f\left(a\right)=\ 20  

c)

 f(a)=3a+5f\left(a\right)=3a+5  

d)

 f(a)= −8f\left(a\right)=\ -8  

6.

What is the range of the function.

a)

(−∞ ,∞)\left(-\infty\ ,\infty\right)

b)

(−∞, 2]\left(-\infty,\ 2\right]

c)

(∞,−∞)\left(\infty,-\infty\right)

d)

[2,∞)\left[2,\infty\right)

7.

 g(x) = 3(x+10)+5g\left(x\right)\ =\ 3\left(x+10\right)+5   f(x)=xf\left(x\right)=x  

Describe the transformation occurring to f(x) in the function g(x).

a)

Vertical stretch of 3

b)

Shift right 10

c)

Shift left 10

d)

Shift up 5

e)

Shift down 5

8.

 f(x)=25xf\left(x\right)=\frac{2}{5}x  

Write a linear function for g(x) that shifts f(x) up 6 units.

a)

 g(x) =25x+6g\left(x\right)\ =\frac{2}{5}x+6  

b)

 g(x)=25(x+6)g\left(x\right)=\frac{2}{5}\left(x+6\right)  

c)

 g(x) = 85xg\left(x\right)\ =\ \frac{8}{5}x  

d)

 g(x)=25(x−6)g\left(x\right)=\frac{2}{5}\left(x-6\right)  

9.

Given f(x) and g(x), which equation represents g? f(x)=8x+1f\left(x\right)=8x+1   g(x)=f(x−2)g\left(x\right)=f\left(x-2\right)  

a)

 g(x)=6x+1g\left(x\right)=6x+1  

b)

 g(x)=6x−1g\left(x\right)=6x-1  

c)

 g(x)=8x+15g\left(x\right)=8x+15  

d)

 g(x)=8x−15g\left(x\right)=8x-15  

10.

Find the value of k for the function g.

a)

3

b)

4

c)

-4

d)

1

11.

Select a value for a that will give f(x) a compression and reflection over the x-axis.

a)

2

b)

-3

c)

-1/2

d)

7/8

12.

Write a linear function for the data given by the table.

a)

y=−2.5x+4y=-2.5x+4

b)

y=−32x−1y=-\frac{3}{2}x-1

c)

y=−1.5x+1y=-1.5x+1

d)

y=−2x+2y=-2x+2