Translations of Exponential Functions Answers

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Which graph represents a reflection of f(x) = 6(0.5)x across the x-axis?

A
On a coorindate plane, an exponential function starts in quadrant 3 and increases and approaches y = 0 in quadrant 4. It crosses the y-axis at (0, 6) and goes through (1, negative 3).
Option A
B
On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (1, 3) and crosses the y-axis at (0, 6).
Option B
C
On a coordinate plane, an exponential function approaches y = 0 in quadrant 3 and decreases into quadrant 4. It goes through (negative 1, negative 3) and crosses the y-axis at (0, negative 6).
Option C
D
On a coordinate plane, an exponential function decreases from quadrant 2 to quadrant 1 and approaches y = 0 in the first qudrant. It goes through the y-axis at (0, 6) and goes through (1, 3).
Option D
4

Which is the range of the function f(x) =(9)x?

Question illustration
a
all real numbers
a
all real numbers less than 0
a
all real numbers greater than 0
a
all real numbers less than or equal to 0
5

The function f(x) = (10)–x is reflected across the x-axis to create the function g(x). Which ordered pair is on g(x)?

Question illustration
A
(negative 3, negative StartFraction 3 Over 4,000 EndFraction)
Option A
B
(–2, 75)
C
(2, negative StartFraction 3 Over 400 StartFraction)
Option C
D
(3, –750)
7

Which is the domain of the function f(x) = ?

Question illustration
A
all real numbers
B
all real numbers less than 0
C
all real numbers greater than 0
D
all real numbers less than or equal to 0
9

How are the two functions f(x) = 0.7(6)x and g(x) = 0.7(6)–x related to each other?

g
g(x) is the reflection of f(x) over the x-axis.
g
g(x) is the reflection of f(x) over the y-axis.
g
g(x) is the reflection of f(x) over both axes.
g
g(x) and f(x) will appear to be the same function.
10

Consider the three functions below. f(x) = g(x) = h(x) = Which statement is true?

Question illustration
A
The range of h(x) is y > 0.
B
The domain of g(x) is y > 0.
C
The ranges of f(x) and h(x) are different from the range of g(x).
D
The domains of f(x) and g(x) are different from the domain of h(x).

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