The graph of an absolute value function has a y-intercept of 6 and two negative x-intercepts. Select all
statements that are true about the function.

A : THE FUNCTION IS ALWAYS POSITIVE
B : THE FUNCTION IS ALWAYS NEGATIVE
C : THE FUNCTION IS INCREASING THEN DECREASING
D : THE FUNCTION IS DECREASING AND THEN INCREASING
E : THE FUNCTION HAS BOTH NEGATIVE AND POSITIVE INTERVALS
F : THE FUNCTION IS EITHER ALWAYS INCREASING OR ALWAYS DECREASING

You want to identify the true statements about an absolute value function with two negative x-intercepts and one positive y-intercept.

Example

The attached graph shows an example of an absolute value function that meets the requirements of the problem statement.

You can see that it is positive and decreasing to the left of its vertex, which is negative. To the right of the vertex, it increases back to positive values.

The true statements are ...

D : THE FUNCTION IS DECREASING AND THEN INCREASING
E : THE FUNCTION HAS BOTH NEGATIVE AND POSITIVE INTERVALS