Question

The graph of the function f(x) = (x-4)(x + 1) is shown

below.
4-2
64
Mark this and return
6
2
T
6
2
6
X
Which statement about the function is true?
The function is increasing for all real values of x
where
x<0.
O The function is increasing for all real values of x
where
x < -1 and where x > 4.
O The function is decreasing for all real values of x
where
-1 < x < 4.
O The function is decreasing for all real values of x
where
x < 1.5.

Answer 1

Answer: The function is decreasing for all real values of x where x < 1.5.

Explanation:

The axis of symmetry is
`x=(4-1)/(2)=1.5`

Since the coefficient of
`x^2` is positive, the graph opens upwards.

So, the function is decreasing for all real values of x where x < 1.5.