Question

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In the first four months of the year, Noralie's jewelry sales were declining. After April, her sales began to improve. The function below represents her monthly sales. Which graph represents the Noralie's sales?

Answer 1

In the first four months of the year, Noralie's jewelry sales were declining. After April, her sales began to improve. The function below represents her monthly sales. Which graph represents the Noralie's sales?

Answer 2

Answer:

Option C. is the correct option,

Step-by-step explanation:

To represent the inequalities in the form of a graph we will plug in the values of x and find the points.

f(x) = -x + 8 if x < 4

and f(x) = x if x ≥ 4

For x = 4, 5, 6, 7, 8 x ≥ 4

f(x) = x

f(4) = 4

f(5) = 5

f(6) = 6

f(7) = 7

For x < 4

f(x) = -x + 8

x = 3, 2, 1, 0

f(3) = -3 + 8 = 5

f(2) = -2 + 8 = 6

f(1) = -1 + 8 = 7

f(0) = 0 + 8 = 8

We see for every value of x, value of function is increasing. Therefore on both the sides of x = 4 graph is increasing.

Therefore Option C. is the graph representing Noralie's sales.