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Artemon [7]
2 years ago
11

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

Mathematics
2 answers:
Elis [28]2 years ago
8 0

Answer:

See below

Step-by-step explanation:

<h3>Given function </h3>
  • f(x) = 5x - 7

<u>Another notation for same function is</u>

  • y = 5x - 7, where 5 is the slope and -7 is the y-intercept
<h3>Questions </h3>

<u>1. Is the function increasing or decreasing? </u>

  • Increasing as x has positive slope

<u>2. What is the y-intercept? </u>

  • y- intercept is -7

<u>3. What is the slope? </u>

  • The slope is 5

<u>4. What is f(-2)? </u>

  • f(-2) = 5(-2) - 7 = - 10 - 7 = -17

<u>5. If f(x) = 0, what is x?</u>

  • f(x) = 0
  • 0 = 5x - 7
  • 5x = 7
  • x = 7/5
  • x = 1.4
BaLLatris [955]2 years ago
3 0

Answer:

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

<u>Solving</u><u> </u><u>s</u><u>tep</u>

f(x) = 5x - 7

Substitute x=0

f(0) = 5 \times 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 =  \frac{7}{5}

OR

x = 1.4

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