Topics
4. Exponential Functions
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United States of America
Grades 9-12

4.01 Exponential functions

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

Consider the function $y=9^x$y=9x.

a

What value is $9^x$9x always greater than?

$9$9

A

$0$0

B

$1$1

C
b

So how many $x$x-intercepts does the curve have?

Medium
< 1min

Consider the equation $y=3^x$y=3x.

Medium
3min

Consider the function $y=3^x$y=3x.

Medium
2min

Consider the curve $y=4\left(2^x\right)$y=4(2x).

Medium
1min
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Outcomes

F.IF.B.4

For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.

F.IF.C.7.E

Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.

F.IF.C.9

Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).

F.LE.A.1.B

Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.

F.LE.A.1.C

Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another.

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