Answers SVLC ALGEBRA 2B - STANDARD 15272Graphing Exponential Functions

Solving Exponential Equations by Rewriting the Base Answers

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Which of the following exponential equations could be represented by the table below?3210123452.00142.00412.01232.0372.1112.3333511

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What are the domain and range of ?

The domain is all real numbers. The range is all real numbers.

The domain is all real numbers. The range is all real numbers greater than zero.

The domain is all real numbers greater than zero. The range is all real numbers.

The domain is all real numbers greater than zero. The range is all real numbers greater than zero.

Which graph represents an exponential function?

On a coordinate plane, a parabola is shown.

On a coordinate plane, 2 curves mirror each other.

On a coordinate plane, a line curves upwards gradually.

On a coordinate plane, a line increases rapidly and then levels off.

Which of the following exponential equations could be represented by the table below?3210123452.00142.00412.01232.0372.1112.3333511

mc027-6.jpg

mc027-7.jpg

mc027-8.jpg

mc027-9.jpg

Which graph represents an exponential function?

On a coordinate plane, a line curves upwards gradually.

On a coordinate plane, a curve decreases, changes directions, and then decreases again.

On a coordinate plane, a line is level and then curves upwards rapidly.

On a coordinate plane, 2 curves mirror each other in quadrants 1 and 3.

Which of the following describes the transformations of from the parent function ?

shift 4 units left, reflect over the x-axis, shift 2 units down

shift 4 units left, reflect over the y-axis, shift 2 units down

shift 4 units right, reflect over the x-axis, shift 2 units down

shift 4 units right, reflect over the y-axis, shift 2 units down

Which statement best describes the domain and range of f(x) = –(7)x and g(x) = 7x?

f(x) and g(x) have the same domain and the same range.

f(x) and g(x) have the same domain but different ranges.

f(x) and g(x) have different domains but the same range.

f(x) and g(x) have different domains and different ranges.

Which of the following describes the transformation of from the parent function ?

reflect across the x-axis, stretch the graph vertically by a factor of 3, shift 2 units up

reflect across the y-axis, stretch the graph vertically by a factor of 2, shift 3 units up

reflect across the x-axis, stretch the graph vertically by a factor of 2, shift 3 units up

reflect across the y-axis, stretch the graph vertically by a factor of 3, shift 2 units up

Which graph represents an exponential function?

On a coordinate plane, a parabola is shown.

On a coordinate plane, 2 curves mirror each other.

On a coordinate plane, a line curves upwards gradually.

On a coordinate plane, a line increases rapidly and then levels off.

Which statement best describes the domain and range of f(x) = –(7)x and g(x) = 7x?

f(x) and g(x) have the same domain and the same range.

f(x) and g(x) have the same domain but different ranges.

f(x) and g(x) have different domains but the same range.

f(x) and g(x) have different domains and different ranges.

Which function represents a vertical stretch of an exponential function?

f (x) = 3 (one-half) Superscript x

f (x) = one-half (3) Superscript x

f (x) = (3) Superscript 2 x

f (x) = 3 Superscript (one-half x)

What are the domain and range of the function f(x) = 3x + 5?

domain: ; range:

domain:; range:

domain: ; range:

Which function represents a vertical stretch of an exponential function?

f (x) = 3 (one-half) Superscript x

f (x) = one-half (3) Superscript x

f (x) = (3) Superscript 2 x

f (x) = 3 Superscript (one-half x)

Which graph represents an exponential growth function?

On a coordinate plane, a line rapidly decreases and then levels off.

On a coordinate plane, a line increases gradually.

On a coordinate plane, a line decreases gradually.

On a coordinate plane, a line is level and then curves upwards rapidly.

Which function has a range of y < 3?

y = 3 (2) Superscript x

y = 3 (3) Superscript x

y = negative (2) Superscript x Baseline + 3

y = (2) Superscript x Baseline minus 3

Which graph represents an exponential function?

On a coordinate plane, a curve decreases rapidly and then levels out.

On a coordinate plane, a curve decreases, changes directions, and then decreases again.

On a coordinate plane, 2 curves mirror each other.

On a coordinate plane, a line curves increases gradually.

Which of the following describes the transformation of from the parent function ?

reflect across the x-axis, stretch the graph vertically by a factor of 3, shift 2 units up

reflect across the y-axis, stretch the graph vertically by a factor of 2, shift 3 units up

reflect across the x-axis, stretch the graph vertically by a factor of 2, shift 3 units up

reflect across the y-axis, stretch the graph vertically by a factor of 3, shift 2 units up

Which graph represents an exponential function?

On a coordinate plane, a line curves upwards gradually.

On a coordinate plane, a curve decreases, changes directions, and then decreases again.

On a coordinate plane, a line is level and then curves upwards rapidly.

On a coordinate plane, 2 curves mirror each other in quadrants 1 and 3.

Which properties are present in a table that represents an exponential function in the form when ?I. As the x-values increase, the y-values increase.II. The point (1, 0) exists in the table.III. As the x-values increase, the y-values decrease.IV. As the x-values decrease, the y-values decrease, approaching a singular value.