The graph of the function f(x)=(x-4)(x+1) is shown below. which statement about the function is true?

(1) the function is increasing for all real values of X where X < 0

(2) the function is increasing for all real numbers of x where X < -1 and x>4

(3) the function is decreasing for all real numbers of x where x< 1.5

(3) the function is decreasing for all real numbers of x where x< 1.5

Step-by-step explanation:

The function given in this problem is

which can be rewritten as:

A function is:

- Increasing over a certain interval if the first derivative is positive in that interval

- Decreasing over a certain interval is the first derivative is negative in that interval

So we start by calculating the first derivative of this function. We get:

This function is positive when:

Which means, when x > 1.5.

So the function is:

- Increasing for x > 1.5

- Decreasing for x < 1.5

So the correct option is

(3) the function is decreasing for all real numbers of x where x< 1.5

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|