Free Printable Exponential Functions- Advanced Algebra 1

Worksheets

Exponential Functions- Advanced Algebra 1

Total questions: 20

Worksheet time: 40mins

Name

Class

Date

What is the starting amount in the problem below?

f(t) = 300(1.05)^t

300

1.05

What is the growth rate in the problem below?

f(t) = 300(1.05)^t

300

1.05

In an exponential function, what does the 'a' represent?

SLOPE

RATE OF CHANGE

Y-INTERCEPT

COMMON RATIO

Is this exponential growth or decay?

Growth

Decay

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

-∞ ≤ x ≤ ∞

-∞ ≤ y ≤ ∞

x > 0

y > 0

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

-∞ ≤ x ≤ ∞

-∞ ≤ y ≤ ∞

x > 0

y > 0

Given y=3^xdetermine the y-intercept

(0,1)

(0,3)

No Y-intercept

y=1

Given y=3^xdetermine the asymptote

(0,1)

(0,3)

x=0

y=0

A new savings account is opened with $400 and gains 3% every year. What is the exponential function?

f(x)=400(.97)^x

f(x)=400(1-0.03)^x

f(x)=400(1.03)^x

f(x)=400(0.03)^x

10.

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

y=6(0.14)^x

y=6(1+14)^x

y=6(1.14)^x

y=6(0.86)^x

11.

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?

y=8(15,000)^x

y=15,000(1.08)^x

y=15,000(0.92)^x

y=15,000(0.08)^x

12.

An adult takes 800 mg of ibuprofen. Each hour, the amount of ibuprofen in the person’s system decreases by about 29%. How much ibuprofen is left after 6 hours? (hint: create equation first)

101

102

103

104

13.

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

y=5000(0.7)^x

y=30(5000)^x

y=5000(1.3)^x

y=5000x^x

14.

Identify each function as representing exponential growth or decay.
f(x) = 5(1.06)^x

growth

decay

15.

Identify each function as representing exponential growth or decay.
f(x) = 4(0.89)^x

growth

decay

16.

Which is an exponential function?

y = mx + b

y - y₁= m(x - x₁)

y = ab^x

17.

What is the horizontal asymptote of all exponential functions?

The x-axis

The y-axis

All real numbers

18.

Which does y = 2(0.5)^xrepresent?

Exponential Growth

Exponential Decay

19.

Which does y = (2)^x represent?

Exponential Growth

Exponential Decay

20.

The horizontal line that a exponential function approaches but never touches

Asymptote

Growth Factor

Axis of Symmetry

Reset

Exponential Functions- Advanced Algebra 1

Total questions: 20

Worksheet time: 40mins

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