Answer each question showing all your work. Watch your time so you are not stuck in the middle of a question when it is submitted.
In submitting this quiz you are agreeing that you have completed this in a honest manner and did not seek and/or help others in its completion.
3 points
3
Question 1
1.
Simplify the expression using the properties of exponents. Show all your work. (3 points)
3 points
3
Question 2
2.
Simplify the expression using the properties of exponents. Show all your work. (3 points)
3 points
3
Question 3
3.
Simplify the expression using the properties of exponents. Show all your work. (3 points)
2 points
2
Question 4
4.
Tell whether the function is an example of exponential growth or exponential decay. Briefly explain how you know. (2 points)
2 points
2
Question 5
5.
Tell whether the function is an example of exponential growth or exponential decay. Briefly explain how you know. (2 points)
3 points
3
Question 6
6.
Write a new exponential function with base e as f(x) = ex that represents the indicated transformations. (3 points)
“a translation one unit to the left, reflection across the x-axis, and down three units”
3 points
3
Question 7
7.
Write a new exponential function with base e as f(x) = ex that represents the indicated transformations. (3 points)
“a translation four units right; vertical shrink by a factor of 1/3, and a translation six units up”
3 points
3
Question 8
8.
Describe the transformations for the function. (3 points)
3 points
3
Question 9
9.
Describe the transformations for the function. (3 points)
10 points
10
Question 10
10.
Describe the graph of the function and complete the table of values for the transformations. Graph the function. Identity the horizontal asymptote, domain, and range. (10 points total)
10 points
10
Question 11
11.
Describe the graph of the function and complete the table of values for the transformations. Graph the function. Identity the horizontal asymptote, domain, and range. (10 points total)
1 point
1
Question 12
12.
Rewrite the logarithmic equation into an exponential equation. (1 point)
1 point
1
Question 13
13.
Rewrite the logarithmic equation into an exponential equation. (1 point)
1 point
1
Question 14
14.
Rewrite the exponential equation into a logarithmic equation. (1 point)
1 point
1
Question 15
15.
Rewrite the exponential equation into a logarithmic equation. (1 point)
2 points
2
Question 16
16.
Evaluate the logarithm without using a calculator. (2 points)
2 points
2
Question 17
17.
Evaluate the logarithm without using a calculator. (2 points)
2 points
2
Question 18
18.
Evaluate the logarithm without using a calculator. (2 points)
3 points
3
Question 19
19.
Write a new logarithmic function from the parent function f(x) = log2x that represents the indicated transformations. (3 points)
“a translation 4 units right; reflection across the x-axis; and a translation down 5 units”
3 points
3
Question 20
20.
Write a new logarithmic function from the parent function f(x) = log2x that represents the indicated transformations. (3 points)
“a translation 1 unit left, a translation 4 units up, and a vertical stretch by a factor of 7/6”
3 points
3
Question 21
21.
Describe the transformations for the logarithmic function. (3 points)
3 points
3
Question 22
22.
Describe the transformations for the logarithmic function. (3 points)
10 points
10
Question 23
23.
Describe the graph of the function based on its transformations. Graph the function by first rewriting the parent function in exponential form to find four good coordinates. Then take the inverse of those coordinates to find the coordinates of the logarithmic parent function. Finally complete the transformations on the coordinates of the logarithmic parent function. Identity the vertical asymptote, domain, and range. (10 points total)
10 points
10
Question 24
24.
Describe the graph of the function based on its transformations. Graph the function by first rewriting the parent function in exponential form to find four good coordinates. Then take the inverse of those coordinates to find the coordinates of the logarithmic parent function. Finally complete the transformations on the coordinates of the logarithmic parent function. Identity the vertical asymptote, domain, and range. (10 points total)