Question

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

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10

x

Save and Exit

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Mark this and retum

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.

Answer 2

The range of the function exist on all real number

How to find the range of a function

The range of a function is the output values for which the function exists

According to the given function  f(x) = (x - 4)(x - 2) , the function can exist on all real values. This shows that the range of the function is also on all real values

Hence we can conclude that the range of the function exist on all real number

Learn more on the range here: https://brainly.com/question/26098895