Pretest

Question 1

Which set of steps will translate f of x is equal to 6 to the x th power to g of x is equal to 6 raised to the x minus 5 power minus 7 ?

Revolt · Accepted Answer

Shift f of x is equal to 6 to the x th power five units to the right and seven units down.

Question 2

What is the range of f of x is equal to 3 to the x th power plus 9 ?

Revolt · Accepted Answer

start set y such that y is greater than 9 end set

Question 3

What are the domain, range, and asymptote of h of x is equal to 0 point 5 to the x th power minus 9 ?

Revolt · Accepted Answer

domain: start set x such that x is a real number end set ; range: start set y such that y is greater than negative 9 end set ; asymptote: y is equal to negative 9

Question 4

What is the domain of f of x is equal to 5 to the x th power minus 7 ?

Revolt · Accepted Answer

start set x such that x is a real number end set

Question 5

Which is the graph of g of x is equal to 2 raised to the x minus 1 power plus 3 ?

Revolt · Accepted Answer

Image with description A coordinate plane has both x and y axes labeled from negative 12 to 12. An exponential function is plotted with a horizontal asymptote at y equals 3. The curve passes through the point 0 comma 3.5 on the y-axis.

Question 6

Which is the graph of g of x is equal to 0 point 5 raised to the x plus 3 power minus 4 ?

Revolt · Accepted Answer

Image with description A coordinate plane with a curve. The x-axis is labeled from negative 12 to 12 in increments of 4 and the y-axis is labeled from negative 12 to 12 in increments of 4. A curve begins with an arrow near the point negative 9 comma 12 in the upper left, descends steeply and then levels off as it moves to the right, passing through approximately the point 0 comma 2, and continues nearly horizontally with an arrow indicating the curve extends to the right beyond the point 12 comma negative 4.

Question 7

Which statement about f⁡(x) and its translation, g⁡(x), is true? f of x is equal to 7 to the x th power g of x is equal to 7 to the x th power plus 6

Revolt · Accepted Answer

The asymptote of g of x is the asymptote of f of x shifted six units up.

Question 8

What are the domain, range, and asymptote of h of x is equal to 1 point 4 to the x th power plus 5 ?

Revolt · Accepted Answer

domain: start set x such that x i s a real number end set ; range: start set y such that y is greater than 5 end set ; asymptote: y is equal to 5

Question 9

What is the domain of f of x is equal to 3 raised to the x minus 2 power ?

Revolt · Accepted Answer

start set x such that x is a real number end set

Question 10

What are the domain, range, and asymptote of h of x is equal to 2 raised to the x plus 4 power ?

Revolt · Accepted Answer

domain: start set x such that x is a real number end set ; range: start set y such that y is greater than 0 end set ; asymptote: y is equal to 0

Pretest Answers

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