Question 1

Provide an appropriate response.
-The function $f ( x ) = 200 \frac { ( 1 + 0.06 / 4 ) ^ { x } - 1 } { 0.06 / 4 }$ describes the future value of a certain annuity. How many payments per year are there?

Accepted Answer

The answer of Provide an appropriate response.
-The function \(f (...

Question 2

Provide an appropriate response.
-$f(x)=a^{X}$

The graph of an exponential function with base a is given. Sketch the graph of $g ( x ) = - a x$. Give the domain and $r$ : of $g$.

Accepted Answer

The answer of Provide an appropriate response.
-$f(x)=a^{X}$

The graph of an...

Question 3

Provide an appropriate response.
-$$\text { Explain why the range of the exponential function } y = 2 ^ { x } \text { does not include zero. }$$

Accepted Answer

The answer of Provide an appropriate response.
-\[\text { Explain why...

Question 4

Provide an appropriate response.
-$$\text { Explain how the graph of } y = ( 1 / 4 ) ^ { x } + 1 \text { can be obtained from the graph of } y = 4 ^ { x } \text {. }$$

Accepted Answer

The answer of Provide an appropriate response.
-\[\text { Explain how...

Question 5

Provide an appropriate response.
-$$\text { Explain how the graph of } y = 8 \log _ { 2 } x + 5 \text { can be obtained from the graph of } y = \log _ { 2 } x \text {. }$$

Accepted Answer

The answer of Provide an appropriate response.
-\[\text { Explain how...

Question 6

Provide an appropriate response.
-$$\text { Explain how the graph of } y = 3 ^ { x + 2 } - 5 \text { can be obtained from the graph of } y = 3 ^ { x } \text {. }$$

Accepted Answer

The answer of Provide an appropriate response.
-\[\text { Explain how...

Question 7

Provide an appropriate response.
-Explain how the graph of y = -log3 (-x) can be obtained from the graph of y = log3 x.

Accepted Answer

The answer of Provide an appropriate response.
-Explain how the graph...

Question 8

Provide an appropriate response.
-Use the change-of-base formula to explain how the graph of f(x) = log5 x can be obtained by applying a
transformation to the graph of g(x) = ln x.

Accepted Answer

The answer of Provide an appropriate response.
-Use the change-of-base formula...

Question 9

Provide an appropriate response.
-$$\text { Explain why the domain of the logarithmic function } y = \log _ { 2 } x \text { does not include negative numbers. }$$

Accepted Answer

The answer of Provide an appropriate response.
-\[\text { Explain why...

Question 10

Provide an appropriate response.
-The function $f ( x ) = 200 \frac { ( 1 + 0.06 / 4 ) ^ { x } - 1 } { 0.06 / 4 }$ describes the future value of a certain annuity. What is the annual interest rate?

Accepted Answer

The answer of Provide an appropriate response.
-The function \(f (...

Quiz 3: Exponential, Logistic, and Logarithmic Functions

Provide an appropriate response. -The function $f ( x ) = 200 \frac { ( 1 + 0.06 / 4 ) ^ { x } - 1 } { 0.06 / 4 }$ describes the future value of a certain annuity. How many payments per year are there?

Provide an appropriate response. - $\text { Explain why the range of the exponential function } y = 2 ^ { x } \text { does not include zero. }$

Provide an appropriate response. - $\text { Explain how the graph of } y = ( 1 / 4 ) ^ { x } + 1 \text { can be obtained from the graph of } y = 4 ^ { x } \text {. }$

Provide an appropriate response. - $\text { Explain how the graph of } y = 8 \log _ { 2 } x + 5 \text { can be obtained from the graph of } y = \log _ { 2 } x \text {. }$

Provide an appropriate response. - $\text { Explain how the graph of } y = 3 ^ { x + 2 } - 5 \text { can be obtained from the graph of } y = 3 ^ { x } \text {. }$

Provide an appropriate response. -Explain how the graph of y = -log3 (-x) can be obtained from the graph of y = log3 x.

Provide an appropriate response. -Use the change-of-base formula to explain how the graph of f(x) = log5 x can be obtained by applying a transformation to the graph of g(x) = ln x.

Provide an appropriate response. - $\text { Explain why the domain of the logarithmic function } y = \log _ { 2 } x \text { does not include negative numbers. }$

Provide an appropriate response. -The function $f ( x ) = 200 \frac { ( 1 + 0.06 / 4 ) ^ { x } - 1 } { 0.06 / 4 }$ describes the future value of a certain annuity. What is the annual interest rate?

Quiz 3: Exponential, Logistic, and Logarithmic Functions

Provide an appropriate response. -The function f(x)=200(1+0.06/4)x−10.06/4f ( x ) = 200 \frac { ( 1 + 0.06 / 4 ) ^ { x } - 1 } { 0.06 / 4 }f(x)=2000.06/4(1+0.06/4)x−1​ describes the future value of a certain annuity. How many payments per year are there?

Provide an appropriate response. - f(x)=aXf(x)=a^{X}f(x)=aX The graph of an exponential function with base a is given. Sketch the graph of g(x)=−axg ( x ) = - a xg(x)=−ax . Give the domain and rrr : of ggg .

Provide an appropriate response. - Explain why the range of the exponential function y=2x does not include zero. \text { Explain why the range of the exponential function } y = 2 ^ { x } \text { does not include zero. } Explain why the range of the exponential function y=2x does not include zero.

Provide an appropriate response. -Explain how the graph of y = -log3 (-x) can be obtained from the graph of y = log3 x.

Provide an appropriate response. -Use the change-of-base formula to explain how the graph of f(x) = log5 x can be obtained by applying a transformation to the graph of g(x) = ln x.

Provide an appropriate response. -The function f(x)=200(1+0.06/4)x−10.06/4f ( x ) = 200 \frac { ( 1 + 0.06 / 4 ) ^ { x } - 1 } { 0.06 / 4 }f(x)=2000.06/4(1+0.06/4)x−1​ describes the future value of a certain annuity. What is the annual interest rate?

Provide an appropriate response. -The function $f ( x ) = 200 \frac { ( 1 + 0.06 / 4 ) ^ { x } - 1 } { 0.06 / 4 }$ describes the future value of a certain annuity. How many payments per year are there?

Provide an appropriate response. - $\text { Explain why the range of the exponential function } y = 2 ^ { x } \text { does not include zero. }$

Provide an appropriate response. -The function $f ( x ) = 200 \frac { ( 1 + 0.06 / 4 ) ^ { x } - 1 } { 0.06 / 4 }$ describes the future value of a certain annuity. What is the annual interest rate?