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


The slope of this function is


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



This implies that,



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.