AnswersMathematics IReflections of Exponential Functions

Reflections of Exponential Functions — Quiz Answers

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1
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Which is the range of the function f of x is equal to 1 seventh times 9 to the x th power ?

A
all real numbers less than or equal to 0
B
all real numbers less than 0
C
all real numbers
D
all real numbers greater than 0
2
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Which graph represents a reflection of f of x is equal to 1 tenth times 10 to the x th power across the y -axis?

A
Image with description On a coordinate plane, an exponential function approaches y = 0 in quadrant 3 and decreases into quadrant 4. It goes through (1, negative 1).
B
Image with description On a coordinate plane, an exponential function increases from quadrant 3 to quadrant 4 and approaches y = 0. It goes through (negative 1, negative 1).
C
Image with description On a coordinate plane, an exponential function decreases from quadrant 2 to quadrant 1 and approaches y = 0 in quadrant 1. It goes through (negative 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 (1, 1).
3

Which best describes the range of the function f of x is equal to 2 times 1 fourth to the x th power after it has been reflected over the y -axis?

A
all real numbers less than 0
B
all real numbers less than or equal to 0
C
all real numbers
D
all real numbers greater than 0
4

Which graph represents a reflection of f of x is equal to 6 times 0 point 5 to the x th power across the x -axis?

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 (1, 3) and crosses the y-axis at (0, 6).
B
Image with description On a coordinate plane, an exponential function decreases from quadrant 2 to quadrant 1 and approaches y = 0 in the first quadrant. It goes through the y-axis at (0, 6) and goes through (1, 3).
C
Image with description On a coordinate 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).
D
Image with description 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).
5

The function f of x is equal to 1 sixth times 2 fifths to the x th power is reflected across the y -axis to create the function g of x Which ordered pair is on g of x ?

A
negative 2 comma 25 twenty-fourths
B
3 comma negative 125 forty-eighths
C
2 comma 2 seventy-fifths
D
negative 3 comma 4 three-hundred and seventy-fifths
6

Which is the domain of the function f of x is equal to negative 5 sixths times 3 fifths to the x th power ?

A
all real numbers greater than 0
B
all real numbers
C
all real numbers less than or equal to 0
D
all real numbers less than 0
7

The function f of x is equal to 1 sixth times 2 fifths to the x th power is reflected across the y -axis to create the function g of x Which ordered pair is on g of x ?

A
negative 3 comma 4 three-hundred and seventy-fifths
B
3 comma negative 125 forty-eighths
C
2 comma 2 seventy-fifths
D
negative 2 comma 25 twenty-fourths
8

Which graph is the result of reflecting f of x is equal to 1 fourth times 8 to the x th power across the y -axis and then across the x -axis?

A
Image with description On a coordinate plane, an exponential function approaches y = 0 in quadrant 3 and decreases into quadrant 4. It crosses the y-axis at (0, negative 0.25) and goes through (1, negative 2).
B
Image with description On a coordinate plane, an exponential function approaches y = 0 in quadrant 1 and increases in quadrant 2. It crosses the y-axis at (0, 0.25) and goes through (negative 1, 2).
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 the y-axis at (0, 0.25) and goes through (1, 2).
D
Image with description On a coordinate plane, an exponential function increases in quadrant 3 into quadrant 4 and approaches y = 0. It goes through (negative 1, negative 2) and crosses the y-axis at (0, negative 0.25).
9

How are the two functions f of x is equal to 0 point 7 times 6 to the x th power and g of x is equal to 0 point 7 times 6 raised to the negative x power related to each other?

A
g of x and f of x will appear to be the same function.
B
g of x is the reflection of f of x over both axes.
C
g of x is the reflection of f of x over the x -axis.
D
g of x is the reflection of f of x over the y -axis.
10

The function f of x is equal to 3 fourths times 10 raised to the negative x power is reflected across the x -axis to create the function g of x Which ordered pair is on g of x ?

A
2 comma negative 3 four-hundredths
B
negative 2 comma 75
C
3 comma negative 750
D
negative 3 comma negative 3 four-thousandths

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Reflections of Exponential Functions — Quiz…