Question

The function f(x) = (x - 4)(x - 2) is shown.

Answer 1

Answer:

all real numbers greater can or equal to -1

Step-by-step explanation:

Given the function:  f(x) = (x - 4)(x - 2)

=> its root: x =4 and x = 2

We convert the factored form into standard form:  f(x) = $x^{2} -6x + 8$

As can be seen, the parameter a in the function is positive => the graph of it open up over its domain.

and then we convert the factored form into vertex form: f(x) = $(x-3)^{2}$ - 1

<=> when x =3 we have f(x) =1 and f(x) =-1 is the lowest point of the function

=> the range of the function: all real numbers greater can or equal to -1

Hope it will find you well.