AnswersCA-Mathematics IExponential Growth Functions

Exponential Growth Functions Answers

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What is true of the given function?The function increases at a constant additive rate.The function increases at a constant multiplicative rate.The function has an initial value of 0.As each x value increases by 1, the y values increase by 1.

A
The function increases at a constant additive rate.
B
The function increases at a constant multiplicative rate.
C
The function has an initial value of 0.
D
As each x value increases by 1, the y values increase by 1.
2
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Sample Response: If the base of the exponent were 1, the function would remain constant. The graph would be a horizontal line. If the base of the exponent were less than 1, but greater than 0, the function would be decreasing.

Answer not available
77357

[___]

Answer:

3

77386

b = [___]

Answer:

1.16

77387

[___]

Answer:

3

77388

Which graph represents the function f(x) = three-halves (2)x?

Question illustration
A
[Image: On a coordinate plane, an exponential function has...]
Option A
B
[Image: On a coordinate plane, an exponential function has...]
Option B
C
[Image: On a coordinate plane, an exponential function has...]
Option C
D
[Image: On a coordinate plane, an exponential function has...]
Option D
77390

Which statements are true of the function f(x) = 3(2.5)x? Check all that apply.The function is exponential.The initial value of the function is 2.5.The function increases by a factor of 2.5 for each unit increase in x.The domain of the function is all real numbers.The range of the function is all real numbers greater than 3.

A
The function is exponential.
B
The initial value of the function is 2.5.
C
The function increases by a factor of 2.5 for each unit increase in x.
D
The domain of the function is all real numbers.
E
The range of the function is all real numbers greater than 3.
77391

a = [___]

Answer:

240

77392

Leticia invests $200 at 5% interest. If y represents the amount of money after x time periods, which describes the graph of the exponential function relating time and money?The initial value of the graph is 200. The graph increases by a factor of 1.05 per 1 unit increase in time.The initial value of the graph is 200. The graph increases by a factor of 5 per 1 unit increase in time.The initial value of the graph is 500. The graph increases by a factor of 2 per 1 unit increase in time.The initial

A
The initial value of the graph is 200. The graph increases by a factor of 1.05 per 1 unit increase in time.
B
The initial value of the graph is 200. The graph increases by a factor of 5 per 1 unit increase in time.
C
The initial value of the graph is 500. The graph increases by a factor of 2 per 1 unit increase in time.
D
The initial value of the graph is 500. The graph increases by a factor of 1.02 per 1 unit increase in time.
77394

What is true of the given function?

A
The function increases at a constant additive rate.
B
The function increases at a constant multiplicative rate.
C
The function has an initial value of 0.
D
As each x value increases by 1, the y values increase by 1.
77395

Which graph represents the function f(x) = three-halves (2)x?

Question illustration
A
[Image: On a coordinate plane, an exponential function has...]
B
[Image: On a coordinate plane, an exponential function has...]
C
[Image: On a coordinate plane, an exponential function has...]
D
[Image: On a coordinate plane, an exponential function has...]
77396

The given graph represents the function f(x) = 2(5)x. How will the appearance of the graph change if the a value in the function is decreased, but remains greater than 0?

A
The graph will increase at a slower rate.
B
The graph will show a decreasing, rather than increasing, function.
C
The graph will show an initial value that is lower on the y-axis.
D
The graph will increase at a constant additive rate, rather than a multiplicative rate.
77397

Which statements are true of the function f(x) = 3(2.5)x? Check all that apply.The function is exponential.The initial value of the function is 2.5.The function increases by a factor of 2.5 for each unit increase in x.The domain of the function is all real numbers.The range of the function is all real numbers greater than 3.

A
The function is exponential.
B
The initial value of the function is 2.5.
C
The function increases by a factor of 2.5 for each unit increase in x.
D
The domain of the function is all real numbers.
E
The range of the function is all real numbers greater than 3.
77398

Leticia invests $200 at 5% interest. If y represents the amount of money after x time periods, which describes the graph of the exponential function relating time and money?

A
The initial value of the graph is 200. The graph increases by a factor of 1.05 per 1 unit increase in time.
B
The initial value of the graph is 200. The graph increases by a factor of 5 per 1 unit increase in time.
C
The initial value of the graph is 500. The graph increases by a factor of 2 per 1 unit increase in time.
D
The initial value of the graph is 500. The graph increases by a factor of 1.02 per 1 unit increase in time.
77400

a = [___]

Answer:

240

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