Free Printable Algebra 2 Quiz 3 - Exponential Functions and Equations

1.

Solve .
$2^{2x+3}=128$

a)

-2

b)

$-\frac{3}{2}$

c)

$\frac{3}{2}$

d)

2

2.

$125^x\cdot25^{2x+1}=\left(\frac{1}{5}\right)^{x+6}$

Solve.

a)

$-\frac{18}{6}$

b)

-1

c)

1

d)

$\frac{18}{6}$

3.

Solve.
$\left(\frac{1}{8}\right)^{3x}=\left(\frac{1}{8}\right)^{x+6}$

a)

1

b)

2

c)

3

d)

4

4.

Solve.

4^{5x+2}=\left(\frac{1}{64}\right)

a)

-2

b)

-1

c)

1

d)

2

5.

Solve.
$\left(\frac{1}{216}\right)^{x-1}=36^x$

a)

-1

b)

$-\frac{3}{5}$

c)

$\frac{3}{5}$

d)

1

6.

What is the y-intercept of the function?

a)

1

b)

2

c)

4

d)

3

7.

What is the range of $f\left(x\right)=2^{x+1}-3$ ?

a)

(-∞,∞)

b)

(-3, ∞)

c)

(-1, ∞)

d)

(-∞, -3)

8.

Is this exponential growth or decay?

a)

Growth

b)

Decay

9.

What is the domain of f(x) = 5^x?

a)

-∞ ≤ x ≤ ∞

b)

-∞ ≤ y ≤ ∞

c)

x > 0

d)

y > 0

10.

Given $f\left(x\right)=\ -3\cdot2^{x-4}-6$ , what is the equation for the asymptote?

a)

y=-6

b)

y=6

c)

x=-6

d)

x=6

11.

Using the parent function $f\left(x\right)=2^x$ , what would the graph of $f\left(x\right)=-3\cdot2^{x-4}-6$ look like?

a)

Reflect over x-axis, Vertical stretch by factor of 3, 4 right, 6 down.

b)

Reflect over x-axis, Vertical stretch by factor of 3, 4 right.

c)

Reflect over x-axis, Vertical compression by factor of 3, 4 right, 6 down.

d)

Reflect over x-axis, Vertical stretch by factor of 3, 4 left, 6 down.

12.

Given $f\left(x\right)=\ -3\cdot2^{x-4}-6$ , what is the range?

a)

$\left(-\infty,\ -6\right)$

b)

$\left(-6,\ -\infty\right)$

c)

$\left(-6,\ \infty\right)$

d)

$\left(\infty,-6\right)$

13.

Given $f\left(x\right)=\ -3\cdot2^{x-4}-6$ , what is the y-intercept?

a)

$\left(0,\ -6\right)$

b)

$\left(0,\ -6.188\right)$

c)

$\left(-6.188,\ 0\right)$

d)

$\left(-6,\ 0\right)$

14.

Given $f\left(x\right)=\ -3\cdot2^{x-4}-6$ , what is the end behavior?

a)

$As\ \ x\rightarrow-\infty,\ \ f\left(x\right)\rightarrow-6$

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

b)

$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty$ $As\ \ x\rightarrow\infty,\ f\left(x\right)\rightarrow-6$

c)

$As\ \ x\rightarrow-\infty,\ \ f\left(x\right)\rightarrow6$ $As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$

d)

$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow-6$ $As\ \ x\rightarrow\infty,\ f\left(x\right)\rightarrow6$

15.

Solve the exponential equation then choose the correct answer.

a)

A

b)

B

c)

C

d)

D

Algebra 2 Quiz 3 - Exponential Functions and Equations

Total questions: 15

Worksheet time: 29mins

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