Free Printable Quiz 2 Algebra 2 Honors

1.

Describe the End Behavior of this function in the negative x direction.

a)

$x\rightarrow+\infty,\ f\left(x\right)\rightarrow+\infty$

b)

$x\rightarrow-\infty,\ f\left(x\right)\rightarrow+\infty$

c)

$x\rightarrow+\infty,\ f\left(x\right)\rightarrow-\infty$

d)

$x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty$

2.

Write this interval using Set Notation.

a)

$\left[2,+\infty\right]$

b)

$\left(-\infty,2\right)$

c)

{ x<2 }

d)

{ x | x<2 }

3.

State the Domain and Range of this function.

a)

Domain: [-4,2] ; Range: [-2,4]

b)

Domain: [-2,4] ; Range: [-4,2]

c)

Domain: [-4,2] ; Range: [-4,4]

d)

Domain: [-4,4] ; Range: [-4,2]

4.

On what intervals is this function positive and on what intervals is it negative?

a)

Positive: ( -2 , 3.5 ) ; Negative: [ -3 , -2 ) and ( 3.5 , 5 ]

b)

Positive: ( -3 , 1 ) ; Negative: ( 3 , 5 )

c)

Positive: ( -3 , 3 ) ; Negative: ( 3 , 5 )

d)

Positive: ( -2 , 1 ) ; Negative: ( 3 , 3.5 )

5.

Over what intervals is this function increasing and decreasing?

a)

Increasing: -3<x<1 ; Decreasing: 1<x<4

b)

Increasing: -5<x<-1 ; Decreasing: -1<x<6

c)

Increasing: -3<x<1 and 4<x<6 ; Decreasing: -5<x<-3 and 1<x<4

d)

Increasing: -5<x<-1 and 3<x<6 ; Decreasing: -1<x<3

6.

Approximate the maximum and identify any zeros of this function.

a)

maximum: y = 3.25 , zeros: x = -2, -1, 2, 4

b)

maximum: y = infinity , zeros: y = -0.75, -3.5

c)

maximum: x = 0.5 , zeros: x = -2, -1, 2, 4

d)

maximum: x = infinity , zero: y = 3.5

7.

Write g(x) where g(x) performs a vertical stretch of f(x) by a factor of 4 and a horizontal translation 2 units to the right.

a)

g(x) = 1/4 f( x + 2 )

b)

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

c)

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

d)

g(x) = 1/4 f( x - 2 )

8.

Using these graphs, write the equation for g(x) in terms of f(x).

a)

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

b)

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

c)

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

d)

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

9.

What is the inverse of the following function?

f\left(x\right)\ =\ \frac{x-5}{5}

a)

$f^{-1}\left(x\right)\ =\ 5x+5$

b)

$f^{-1}\left(x\right)=5x-25$

c)

$f^{-1}\left(x\right)=\frac{-x+5}{5}$

d)

$f^{-1}\left(x\right)=5x-5$

10.

Which of these functions are inverses of one another?

a)

$f\left(x\right)\ =\ x$ ; $g\left(x\right)=\frac{1}{x}$

b)

$f\left(x\right)=\frac{1}{2}x$ ; $g\left(x\right)=x-\frac{1}{2}$

c)

$f\left(x\right)=\frac{1}{3}x+1$ ; $g\left(x\right)=3x-3$

d)

$f\left(x\right)=5x+1$ ; $g\left(x\right)=\frac{1}{5}x-1$

Quiz 2 Algebra 2 Honors

Total questions: 10

Worksheet time: 3hrs 30mins

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