Pre Calc Checkup 4
Name:
Date:
Graded Assignment
Checkup: Graphs of Logarithmic Functions
Answer the following questions using what you've learned from this unit. Write your responses in the space provided, and turn the assignment in to your instructor.
1. What is equivalent to? How do you know?
6xlog(b)B
2. What is equivalent to? How do you know?
4.3
3. What is equivalent to? How do you know?
400
4. Use what you know about horizontal and vertical shifts of functions to sketch a graph of .
5. What is the domain of ?
All real numbers greater than 2
6. What is the range of ?
All real numbers
7. What is the vertical asymptote of ?
x = 2
8. What is the x-intercept of ?
(2, 0)
9. Use what you know about horizontal and vertical shifts of functions to sketch a graph of .
10. What is the domain of ?
All real numbers greater than -3
11. What is the range of ?
All real numbers
12. What is the vertical asymptote of ?
x = -3
13. What is the x-intercept of ?
x = (-2.8, 0)
For problems 14 – 17, solve for x in each of the equations.
14.
x = In(3/2)10 3
15.
20In(60)
In (512)
16.
In6.7 x
17.
-In(7/6) 2
18. A lake is stocked with 1,500 young trout. If the number of the original trout alive after x years is given by the function , when will there be 300 of the original trout left?
x = 4.023 years
For problems 19 – 20, for each graph decide whether f(x) and g(x) are inverse functions of each other. Explain your thinking.
19.
Yes because by imagining the line of symmetry and mentally folding the graph along the line of symmetry, I can see that g(x) is f(x)’s inverse function
20.
Yes because by imagining the line of symmetry and mentally folding the graph along the line of symmetry, I can see that g(x) is f(x)’s inverse function.
Date:
Graded Assignment
Checkup: Graphs of Logarithmic Functions
Answer the following questions using what you've learned from this unit. Write your responses in the space provided, and turn the assignment in to your instructor.
1. What is equivalent to? How do you know?
6xlog(b)B
2. What is equivalent to? How do you know?
4.3
3. What is equivalent to? How do you know?
400
4. Use what you know about horizontal and vertical shifts of functions to sketch a graph of .
5. What is the domain of ?
All real numbers greater than 2
6. What is the range of ?
All real numbers
7. What is the vertical asymptote of ?
x = 2
8. What is the x-intercept of ?
(2, 0)
9. Use what you know about horizontal and vertical shifts of functions to sketch a graph of .
10. What is the domain of ?
All real numbers greater than -3
11. What is the range of ?
All real numbers
12. What is the vertical asymptote of ?
x = -3
13. What is the x-intercept of ?
x = (-2.8, 0)
For problems 14 – 17, solve for x in each of the equations.
14.
x = In(3/2)10 3
15.
20In(60)
In (512)
16.
In6.7 x
17.
-In(7/6) 2
18. A lake is stocked with 1,500 young trout. If the number of the original trout alive after x years is given by the function , when will there be 300 of the original trout left?
x = 4.023 years
For problems 19 – 20, for each graph decide whether f(x) and g(x) are inverse functions of each other. Explain your thinking.
19.
Yes because by imagining the line of symmetry and mentally folding the graph along the line of symmetry, I can see that g(x) is f(x)’s inverse function
20.
Yes because by imagining the line of symmetry and mentally folding the graph along the line of symmetry, I can see that g(x) is f(x)’s inverse function.