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KatRina [158]
2 years ago
9

Use the graph to determine a. the function's domain; b. the function's range; c. the

Mathematics
1 answer:
Nat2105 [25]2 years ago
4 0

<u>Part a</u>

The domain is the set of x-values, which is (-\infty, \infty)

<u>Part b</u>

The range is the set of y-values, which is (-\infty, -2]

<u>Part c</u>

The x-intercepts is when y=0, which there are none of.

<u>Part d</u>

The y-intercept is when x=0, which is at (0, -2).

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Using a linear function, the correct option regarding the situation is given by:

C) 57 ≤ 1.28x + 38 ≤ 87; To stay within the range, the usage should be between 14.8 and 38.3 HCF.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The bill is modeled by a linear function, with an <u>intercept of $38 and a slope of $1.28</u>, hence it is given by:

C(x) = 1.28x + 38

The bill should be between $57 and $87 dollars per month, hence:

57 <= C(x) <= 87.

The values of x are:

C(x) >= 57

1.28x + 38 >= 57

x >= 19/1.28

x >= 14.8.

C(x) >= 87

1.28x + 38 >= 87

x >= 49/1.28

x >= 38.3.

Hence option C is correct.

More can be learned about linear functions at brainly.com/question/24808124

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