Question

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

Answer 1

The answer to this question is d

Answer 2

Answer: The correct option is D.

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 $x=-\frac{19}{5}$, so the x-intercept is $(-\frac{19}{5},0)$.

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