Free Practice Quiz Question List

Exponential Functions Online Quiz Questions

Use this free practice quiz with 20 questions to review Exponential Functions, test your knowledge, and prepare for your next test or exam.

20 questions

Choose one

1 point

A quantity increases by 7% during each time period. What multiplicative factor should appear in its exponential model?

A
0.93
B
1.07
C
7.00
D
1.70

Choose one

1 point

What behavior does the function f(x) = 6(0.82)^x model?

A
Growth, because the coefficient is positive
B
Growth, because the exponent contains x
C
Decay, because the base is between 0 and 1
D
Neither growth nor decay, because the coefficient is 6

Choose one

1 point

What is the horizontal asymptote of g(x) = 2·3^(x - 4) + 5?

A
y = 0
B
y = 2
C
y = 4
D
y = 5

True or false

1 point

True or false: A data set is likely to follow an exponential pattern when equal increases in the input produce approximately equal ratios in the output.

A
True
B
False

True or false

1 point

True or false: In the continuous model A(t) = A₀e^(kt), k < 0 represents continuous decay.

A
True
B
False

Written response

1 point

For f(x) = 5(1.4)^x, what is the initial value f(0)?

Written response

1 point

Evaluate 16^(3/4). Enter the exact numerical value.

Fill in the blank

1 point

Complete the equivalent expression: (x^3y^2)^2 = x^y^.

Fill in the blank

1 point

For the output values 80, 100, 125, and 156.25 at equally spaced inputs, the pattern has a of .

Choose all

1 point

Select all conditions that are part of the definition of an exponential function f(x) = ab^x.

A
The coefficient a is nonzero
B
The base b may be any negative real number
C
The base b is positive
D
The base b is not 1
E
The variable must appear only as a coefficient

Choose all

1 point

Select all statements that correctly interpret A(t) = A₀(1 + r)^t for a constant percentage-growth situation.

A
A₀ represents the amount at time 0
B
1 + r is the multiplicative factor for one time period
C
r must always be negative
D
t represents elapsed time measured in the model's time units
E
The model adds the same fixed amount each period

Open ended

1 point

An exponential quantity has value 40 when x = 0 and value 90 when x = 3. Find an approximate model of the form y = ab^x and interpret what its base means for each one-unit increase in x.

Choose one

1 point

An account contains $2,500 and earns 4.8% annual interest compounded monthly for 3 years. Which amount is closest to the account balance after 3 years?

A
$2,620.00
B
$2,887.10
C
$2,900.00
D
$3,100.00

Choose one

1 point

Which behavior does the function $f(x)=5(0.75)^x$ model?

A
Growth because the coefficient is positive
B
Decay because the base is between 0 and 1
C
Growth because the exponent contains x
D
Decay because the coefficient is positive

Choose one

1 point

Simplify $(x^3y^2)^2$ .

A
$x^5y^4$
B
$x^6y^2$
C
$x^6y^4$
D
$x^9y^4$

Choose one

1 point

A quantity increases by 7% during each time period. What multiplicative factor should be used in its exponential model?

A
$1.07$
B
$0.93$
C
$7$
D
$0.07$

Choose one

1 point

Which exponential model fits the data $(0,80)$ , $(1,100)$ , $(2,125)$ , and $(3,156.25)$ ?

A
$y=80+20x$
B
$y=100(0.8)^x$
C
$y=1.25(80)^x$
D
$y=80(1.25)^x$

True or false

1 point

True or false: In the continuous model $A(t)=A_0e^{kt}$ , a negative value of $k$ represents continuous decay.

A
True
B
False

Written response

1 point

A machine loses 12% of its value each year. What decay factor should appear in its exponential model? Enter the value as a decimal.

Written response

1 point

An exponential model $y=ab^x$ passes through $(0,40)$ and $(3,90)$ . What is the approximate base $b$ , rounded to the nearest hundredth? Enter a decimal; answers within 0.005 of the rounded value are accepted.