Question 1

Write the equation of the graph in its final position.
-The graph of y = ln(x) is translated 2 units to the right, reflected in the x-axis, and then translated 7 units downward.
A) y = ln(-x + 7) - 7
B) y = ln(x - 2) + 7
C) y = -ln(x - 2) - 7
D) y = ln(x + 2) + 7

Accepted Answer

The correct transformations applied to $y = \ln(x)$ are: translated 2 units to the right (which results in $y = \ln(x - 2)$), reflected in the x-axis (which changes the sign in front of the function, resulting in $y = -\ln(x - 2)$), and then translated 7 units downward (which adds $-7$ to the function, resulting in $y = -\ln(x - 2) - 7$).

Question 2

Write the equation as an equivalent logarithmic equation.
-
A) 
B) 
C) 
D)

Accepted Answer

The answer of Write the equation as an equivalent logarithmic...

Question 3

Use a graph or a table to find the limit.
-
A) 
B) 1
C) 10
D)

Accepted Answer

The answer of Use a graph or a table to...

Question 4

Write the equation as an equivalent exponential equation.
- = 4
A) 
B) 
C) 
D)

Accepted Answer

The answer of Write the equation as an equivalent exponential...

Question 5

Write the equation as an equivalent logarithmic equation.
-
A) 
B) 
C) 
D)

Accepted Answer

The answer of Write the equation as an equivalent logarithmic...

Question 6

Write the equation as an equivalent exponential equation.
-ln(x) = -9
A) 
B) 
C) 
D) ln(-9) = x

Accepted Answer

The answer of Write the equation as an equivalent exponential...

Question 7

Graph the function.
-
A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph the function.
-
A) 
B) 
C) 
D) ...

Question 8

Write the equation as an equivalent exponential equation.
-
A) 
B) 
C) 
D)

Accepted Answer

The answer of Write the equation as an equivalent exponential...

Question 9

Use a graph or a table to find the limit.
-
A) 
B) 
C) -1
D) 0

Accepted Answer

The answer of Use a graph or a table to...

Question 10

Write the equation as an equivalent logarithmic equation.
-
A) 
B) 
C) 
D)

Accepted Answer

The answer of Write the equation as an equivalent logarithmic...

Question 11

Write the equation of the graph in its final position.
-The graph of y = ln(x) is translated 3 units to the right and then 9 units upward.
A) y = ln(x + 9) + 3
B) y = ln(x + 3) + 9
C) y = ln(x - 9) + 3
D) y = ln(x - 3) + 9

Accepted Answer

Translating the graph 3 units to the right means replacing x with (x - 3), and translating it 9 units upward means adding 9 to the function, resulting in y = ln(x - 3) + 9.

Question 12

Find the domain of the function.
-f(x) = 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Find the domain of the function.
-f(x) =...

Question 13

Find the domain of the function.
-
A) 
B) 
C) 
D)

Accepted Answer

The answer of Find the domain of the function.
-
A) 
B)...

Question 14

Write the equation as an equivalent exponential equation.
- = 0
A) 
B) 
C) 
D)

Accepted Answer

The answer of Write the equation as an equivalent exponential...

Question 15

Graph the function.
-
A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph the function.
-
A) 
B) 
C) 
D) ...

Question 16

Find the domain of the function.
-
A) 
B) 
C) 
D)

Accepted Answer

The answer of Find the domain of the function.
-
A) 
B)...

Question 17

Graph the function.
-
A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph the function.
-
A) 
B) 
C) 
D) ...

Question 18

Find the domain of the function.
-
A) 
B) 
C) 
D)

Accepted Answer

The answer of Find the domain of the function.
-
A) 
B)...

Question 19

Find the domain of the function.
-
A) 
B) 
C) 
D)

Accepted Answer

The answer of Find the domain of the function.
-
A) 
B)...

Question 20

Graph the function.
-
A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph the function.
-
A) 
B) 
C) 
D) ...

Quiz 4: Exponential and Logarithmic Functions

Write the equation of the graph in its final position. -The graph of y = ln(x) is translated 2 units to the right, reflected in the x-axis, and then translated 7 units downward.

Write the equation as an equivalent logarithmic equation. -

Use a graph or a table to find the limit. -

Write the equation as an equivalent exponential equation. - = 4

Write the equation as an equivalent logarithmic equation. -

Write the equation as an equivalent exponential equation. -ln(x) = -9

Graph the function. -

Write the equation as an equivalent exponential equation. -

Use a graph or a table to find the limit. -

Write the equation as an equivalent logarithmic equation. -

Write the equation of the graph in its final position. -The graph of y = ln(x) is translated 3 units to the right and then 9 units upward.

Find the domain of the function. -f(x) =

Find the domain of the function. -

Write the equation as an equivalent exponential equation. - = 0

Graph the function. -

Find the domain of the function. -

Graph the function. -

Find the domain of the function. -

Find the domain of the function. -

Graph the function. -