Question

Which function is most likely graphed on the coordinate plane below?

A. f(x) = 3x – 11
B. f(x) = –4x + 12
C. f(x) = 4x + 13
D. f(x) = –5x – 19

Answer 1

The answer to this question is d

Answer 2

Answer: The correct option is D.

Step-by-step explanation:

From the figure it is noticed that the f(x) is a straight line so it must be in the form of,

`f(x)=ax+b`

Where, a coefficient of x and b are constants.

From the graph it is noticed that as the value of x increases the value f(x) decreases. It means the function have negative slope and the coefficient of x must be negative.

The function intersect the y-axis at below the origin. It means the value of b must be negative.

The sign of both constant and coefficient are negative. According to this statement the correct option is D.

In function
`f(x)=-5x-19` both constant and coefficient are negative.

Put x=0, we get f(x)=-19, so the y-intercept is (0,-19).

Put f(x)=0, we get
`x=-(19)/(5)`, so the x-intercept is
`(-(19)/(5),0)`.

Since both x and y intercepts are negative, therefore option D is correct.