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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?

Respuesta :

mhanifa

Answer:

See below

Step-by-step 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
marnie16

Answer:

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

Solving step

[tex]f(x) = 5x - 7[/tex]

Substitute x=0

[tex]f(0) = 5 \times 0 - 7[/tex]

Calculate the product

[tex]f(0) = (0) - 7[/tex]

When adding or Subtracting 0 the quantity does not change

[tex]f(0) = - 7[/tex]

  1. G
  2. Slope is =5 ⚄
  3. ?

[tex]f(x) = 0[/tex]

[tex]0 = 5x - 7[/tex]

[tex]5x = 0[/tex]

[tex]x = \frac{7}{5} [/tex]

OR

[tex]x = 1.4[/tex]

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