Question

Which function has a range of {y|y ≤ 5}? f(x) = (x – 4)2 5 f(x) = –(x – 4)2 5 f(x) = (x – 5)2 4 f(x) = –(x – 5)2 4

Answer 1

The function range of {y|y ≤ 5} is f(x)=-(x-4)^4+5.

Since the range has less than a sign, this means that the parabola is

facing downwards and it means that a is negative.

The range is given by

${y|y \leq k}$

What is the vertex form of a quadratic equation?

$f(x)=a(x-h)^2+K$

Since the range is

${y|y \leq 5},$

This means that k = 5 , and since a is negative

The correct function is

$f(x)=-(x-4)^4+5$

To learn more about the range visit:

brainly.com/question/1579288