AnswersAlgebra IVertical Stretches and Shrinks of Exponential Functions

Vertical Stretches and Shrinks of Exponential Functions — Quiz Answers

10 verified answers1 views
1
Free Preview

Which exponential function is represented by the graph?

A
f of x is equal to 2 times open paren 3 to the x th power close paren
B
f of x is equal to 3 times open paren 2 to the x th power close paren
C
f of x is equal to 3 times open paren 3 to the x th power close paren
D
f of x is equal to 2 times open paren 2 to the x th power close paren
2
Free Preview

Which exponential function is represented by the values in the table?

A
f of x is equal to 4 times 4 to the x th power
B
f of x is equal to 1 half times 4 to the x th power
C
f of x is equal to 1 half times 1 half to the x th power
D
f of x is equal to 4 times 1 half to the x th power
3

What is the value of A for the exponential function in the graph represented in the form of f of x is equal to a times open paren b to the x th power close paren ?

A
negative 3
B
4
C
3
D
negative 4
4

Which graph represents a function with an initial value of 1 half ?

A
Image with description On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 0.12), (0, 0.6), (1, 3).
B
Image with description On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 0.1), (0, 0.5), (1, 2.5).
C
Image with description On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 0.4), (0, 0.2), (1, 1).
D
Image with description On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 0.08), (0, 0.4), (1, 2).
5

Which graph represents a function with a growth factor of 5?

A
Image with description On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 0.125), (0, 0.5), (1, 2).
B
Image with description On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 0.04), (0, 0.2), (1, 1).
C
Image with description On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 0.125), (0, 0.25), (1, 0.5).
D
Image with description On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 0.06), (0, 0.6), (1, 6).
6

Which exponential function has an initial value of 2 ?

A
Table with 2 columns and 6 rows.Row 1: Column 1, 'x'; Column 2, 'f of x' Row 2: Column 1, 'negative 2'; Column 2, '1 eighth' Row 3: Column 1, 'negative 1'; Column 2, '1 fourth' Row 4: Column 1, '0'; Column 2, '1 half' Row 5: Column 1, '1'; Column 2, '1' Row 6: Column 1, '2'; Column 2, '2'
B
Image with description On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It crosses the y-axis at (0, 0.5) and goes through (2, 2).
C
f of x is equal to 3 times open paren 2 to the x th power close paren
D
f of x is equal to 2 times open paren 3 to the x th power close paren
7

Which value of A in the exponential function would cause the function to stretch? f of x is equal to A times 1 third to the x th power

A
0 point 9
B
0 point 3
C
1 point 0
D
1 point 5
8

Which is a shrink of an exponential growth function?

A
f of x is equal to 3 times 3 to the x th power
B
f of x is equal to 1 third times 3 to the x th power
C
f of x is equal to 1 third times 1 third to the x th power
D
f of x is equal to 3 times 1 third to the x th power
9

Consider the exponential function f of x is equal to 1 fifth times open paren 15 to the x th power close paren What is the value of the growth factor of the function?

A
15
B
1 third
C
1 fifth
D
5
10

An exponential function is shown. y=5⁢(2.5)^x What are the growth factor and initial value of the function? Enter your answers in the boxes.

Answer:

2.5|5

Did you find these answers helpful?

More from this Course

Quiz
10 verified answers

Quiz

Quiz
10 verified answers

Quiz

Quiz
10 verified answers

Quiz

Vertical Stretches and Shrinks of Exponential…