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What is the range of the function y= 2x + 3 for the domain 2 ≤ x ≤ 5?

A. -1/2 <= y <= 1

B. 1 <= y <= 5/2

C. 7 <= y <= 13

D. 4 <= y <= 10

What is the range of the function y 2x 3 for the domain 2 x 5 A 12 lt y lt 1 B 1 lt y lt 52 C 7 lt y lt 13 D 4 lt y lt 10 class=

Respuesta :

sqdancefan

Answer:

  C.  7 ≤ y ≤ 13

Step-by-step explanation:

You want the range of y = 2x +3 when the domain is [2, 5].

Range

The range will be the set of y-values for x in the given domain. We can find the range limits by evaluating the relation at the domain limits:

  for x = 2, y = 2(2) +3 = 7

  for x = 5, y = 2(5) +3 = 13

For x-values between 2 and 5, y-values will lie between 7 and 13.

The range is 7 ≤ y ≤ 13, choice C.

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