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

What is the range of the function?

Ty

all real numbers less than or equal to 3

all real numbers less than or equal to - 1

all real numbers greater can or equal to 3

all real numbers greater than or equal to - 1

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-10

-8

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-6

-4

-2

4

6

8

10

x

Save and Exit

Ne

Mark this and retum

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) =

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) = - 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

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