Question

For the function f(x) = 5x - 7 answer the following questions:

1. Is the function increasing or decreasing?
2. What is the y-intercept?
3. What is the slope?
4. What is f(-2)?
5. If f(x) = 0, what is x?

Answer 1

1. It is increasing x has a positive slope as seen in the graph above
2. y intercept is= - 7

Solving step

`f(x) = 5x - 7`

Substitute x=0

`f(0) = 5 * 0 - 7`

Calculate the product

`f(0) = (0) - 7`

When adding or Subtracting 0 the quantity does not change

`f(0) = - 7`

1. G
2. Slope is =5 ⚄
3. ?

`f(x) = 0`

`0 = 5x - 7`

`5x = 0`

`x = (7)/(5)`

OR

`x = 1.4`

Answer 2

See below

Explanation:

Given function

• f(x) = 5x - 7

Another notation for same function is

• y = 5x - 7, where 5 is the slope and -7 is the y-intercept

Questions

1. Is the function increasing or decreasing?

• Increasing as x has positive slope

2. What is the y-intercept?

• y- intercept is -7

3. What is the slope?

• The slope is 5

4. What is f(-2)?

• f(-2) = 5(-2) - 7 = - 10 - 7 = -17

5. If f(x) = 0, what is x?

• f(x) = 0
• 0 = 5x - 7
• 5x = 7
• x = 7/5
• x = 1.4