If the function f(x) = -1/2x - 7 were graphed, which of the following would be true?
A.
The y-values would be negative.
B.
As the x-values increase, the y-values would increase.
C.
The x-values would be negative.
D.
As the x-values increase, the y-values would decrease.

ANSWER

D. As the x-values increase, the y-values would decrease

EXPLANATION

The given function is
[tex]y = - \frac{1}{2} x - 7[/tex]

The slope of this function is
[tex]m = - \frac{1}{2} [/tex]

Since the slope is negative, there is a negative or an inverse relationship between x and y.

As the values of x increases, the values of y decreases.

Also, as the values of x decreases, the values of y increases.

The first option is not true because as x is becoming bigger and bigger negatively, y will become positive.

For instance, when
[tex]x = - 40[/tex]
[tex]y = - \frac{1}{2} ( - 40) - 7[/tex]

This implies that,

[tex]y = 20 - 7 = 13[/tex]

Options B is obviously not true because the function has a negative relationship between x and y.

Option C is also false because, x can be positive since it is the independent variable.

See graph

Therefore, the correct answer is option D.

If the function f(x) = -1/2x - 7 were graphed, which of the following would be true? A. The y-values would be negative. B. As the x-values increase, the y-values would increase. C. The x-values would be negative. D. As the x-values increase, the y-values would decrease.

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If the function f(x) = -1/2x - 7 were graphed, which of the following would be true?
A.
The y-values would be negative.
B.
As the x-values increase, the y-values would increase.
C.
The x-values would be negative.
D.
As the x-values increase, the y-values would decrease.