Free Printable Exponential graphs practice quiz

1.

What does the a represent in the equation

f\left(x\right)=a\left(b\right)^x

a)

Slope

b)

Y-intercept

c)

Rate of Change

d)

Common ratio

2.

Identify which functions are exponential.

a)

f(x) = 2x - 5

b)

g(x) = 3^x

c)

k(x) = 3x⁴ - 6x + 9

d)

k\left(x\right)=3\cdot\left(\frac{1}{2}\right)^x

3.

Determine which function models exponential growth.

a)

$g\left(x\right)=3\cdot2^x$

b)

$k\left(x\right)=\left(\frac{1}{3}\right)^x$

c)

$m\left(x\right)=3\cdot\left(\frac{2}{3}\right)^x$

d)

$p\left(x\right)=4x^2+5x-9$

4.

Determine which functions model exponential decay.

a)

$g\left(x\right)=3\cdot2^x$

b)

$k\left(x\right)=\left(\frac{1}{3}\right)^x$

c)

$m\left(x\right)=3\cdot\left(\frac{2}{3}\right)^x$

d)

$p\left(x\right)=4x^2+5x-9$

5.

Which equation corresponds to the graph below.

a)

$k\left(x\right)=3\cdot\left(\frac{1}{2}\right)^x+4$

b)

$f\left(x\right)=3\cdot2^x+4$

c)

$f\left(x\right)=3\cdot2^x-4$

d)

$m\left(x\right)=3\left(\frac{1}{2}\right)^2-4$

6.

Does the equation below represent exponential growth or decay?

g\left(x\right)=5\left(\frac{4}{3}\right)^{x-2}-5

(a)

7.

Given the equation below determine the y-intercept.

y=3^x

a)

(0, 1)

b)

(0, 3)

c)

x= 0

d)

y = 0

8.

Given the equation below determine the asymptote.

y=3^x

a)

(0, 1)

b)

(0, 3)

c)

x= 0

d)

y = 0

9.

Determine the asymptote of the equation below:

g\left(x\right)=4\cdot2^x+3

a)

y = 4

b)

y = 2

c)

y = 3

10.

Does the graph represent growth, decay, linear or none?

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None

11.

Evaluate the exponential function

f(x) = 3^x ; x = - 2

a)

-81

b)

-9

c)

1/9

d)

-1/81

12.

What is the definition of an asymptote?

a)

a curved line

b)

a curve at the origin

c)

a line that continually approaches a given curve but does not meet it at any finite distance

13.

Which of the below exponential graphs shows decay?

a)

b)

c)

d)

14.

Which of the below exponential graphs shows growth?

a)

b)

c)

d)

15.

Which of the below functions represents exponential growth?

a)

$y=\frac{1}{2}\cdot10^{x\ }$

b)

$f\left(x\right)=2\cdot\frac{1}{2}^x$

c)

$y=10\cdot\frac{1}{2}^x$

d)

$g\left(x\right)=5\cdot\frac{1}{5}^x$

16.

Which graph matches this equation?

a)

b)

c)

d)

17.

What type of function is f(x)=2(1/7)^x ?

a)

Exponential Growth

b)

Linear

c)

Exponential Decay

d)

None of the Abovee

18.

Is the pictured graph growth, decay, or linear or none?

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None

19.

What is the asymptote of y = 2^x ?

a)

y = 0

b)

x = 0

c)

x = 0

d)

x = 1

20.

What is the asymptote of y = 2^x - 3

a)

y = 0

b)

y = -3

c)

x = 0

d)

x = -3

21.

What type of function is $f\left(x\right)=2\left(\frac{1}{4}\right)^x$ ?

a)

exponential growth (increasing)

b)

exponential decay (decreasing)

c)

both growth and decay

22.

Pick the equation that represents exponential growth (is increasing).

a)

y=2(0.5)^x

b)

y = 0.5(2)^x

23.

Which the following graphs represents an exponential decay function?

a)

b)

c)

d)

24.

Which equation matches the graph?

a)

y = 4^x + 3

b)

y = 4^x - 3

c)

y = 4^{(x + 3)}

d)

y = 4^{(x - 3)}

25.

Which equation matches this graph?

a)

b)

c)

d)

Exponential graphs practice quiz

Total questions: 25

Worksheet time: 24mins

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