Complete the following questions to practice the skills you have learned in this lesson.
Double click on mathematical expressions/equations to enlarge. If needed, use the “^” symbol to enter an exponent.
- Whenever the input of a function increases by 1, the output increases by 5. Which of these equations could define ?
- The function is defined by . Which of the following statements is true about the values of ? Select all that apply.
- When the input increases by 1, the value of increases by 2.
- When the input increases by 1, the value of increases by a factor of 2.
- When the input increases by 3, the value of increases by 8.
- When the input increases by 3, the value of increases by a factor of 8.
- When the input increases by 4, the value of increases by a factor of 4.
The two lines on the coordinate plane are graphs of functions and . Use for the graph below for questions 3 and 4.
- Use the graph to explain why the value of increases by 2 each time the input increases by 1.
- Use the graph to explain why the value of increases by 2 each time the input increases by 1. Select two that apply.
- and never intersect and stay an equal distance apart. increases by 2 every time x increases by 1, so must do so as well.
- You can’t use the graph because the points are not labeled.
- There are two graphs so increases by 2 each time the input increases by 1.
- (0,5) and (1,7) are points on the graph of . Between the two points, increases by 2 and increases by 1.
- (0,0) and (1,2) are two points on the graph of . Between the two points, increases by 2 and increases by 1.
- The function is given by . Find the quotient .
- The function is given by . Find the quotient .
-
125
-
25
-
15
-
5
- For each of the functions , and , the domain is . For which functions is the average rate of change a good measure of how the function changes for this domain? Select three that apply.
- What would be the rate of change of the following table?
1 | -4 |
2 | -2 |
3 | 0 |
4 | 2 |
5 | 4 |
- Given the following table, what would be ?
1 | 2 |
2 | 4 |
3 | 8 |
4 | 16 |
5 | 32 |
- Which of the following statements compare rates of and ?
-
In you add 3 to get to the next term; in you multiply by 3 to get to the next term.
-
In you add 3 to get to the next term; in you multiply by 3 to get to the next term.
-
In and you add 3 to get to the next term.
-
In and you multiply by 3 to get to the next term.