Question

What is the range of the function for the given domain? y = 2x − 5 D: {-2, 0, 2, 4}

Answer 1

Answer:

Range of Function :  { - 9, - 5, - 1,  4 }

Step-by-step explanation:

We know that y = 2x - 5 provided the domain ( x - values ) { - 2, 0, 2, 4 }. Let us substitute each element in this set of domain as x in the equation "y = 2x - 5" as to solve for the y - values, otherwise known as the range of the function.

{ - 2, 0, 2, 4 }

y = 2( - 2 ) - 5 = - 9,

y = 2( 0 ) - 5 = - 5,

y = 2( 2 ) - 5 = - 1,

y = 2( 4 ) - 5 = 4

We have the set of y - values as { - 9, - 5, - 1, 4 }. This is the range of our function.

Answer 2

Answer: R: {-9, -5, -1, 3}

Step-by-step explanation:

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Substitute each domain value (x) in the function, and find the values of y:

For x = -2, y = 2(-2) − 5 = -4 − 5 = -9

For x = 0, y = 2(0) − 5 = 0 − 5 = -5

For x = 2, y = 2(2) − 5 = 4 − 5 = -1

For x = 4, y = 2(4) − 5 = 8 − 5 = 3

R: {-9, -5, -1, 3}