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Aneli [31]
3 years ago
7

Which functions have a y-intercept that is greater than the y-intercept of the function g(x) = |x 3| 4? check three options. f(x

) = –2 (x – 8)2 h(x) = –5 |x| 10 j(x) = –4(x 2)2 8
Mathematics
1 answer:
QveST [7]3 years ago
8 0

Using it's concept, it is found that the functions that have a greater y-intercept than g(x) = |x + 3| + 4 are given as follows:

  • h(x) = -5|x| + 10.
  • k(x) = 0.25(x - 4)² + 4.
  • m(x) = 0.25|x - 8| + 6.

<h3>What is the y-intercept of a function?</h3>

It is the <u>value of the function when the input is of zero</u>, that is, f(0).

For g(x) = |x + 3| + 4, we have that g(0) = 7. As for the other functions, we have that:

  • f(x) = -2(x - 8)² -> f(0) = -128.
  • h(x) = -5|x| + 10 -> f(0) = 10 -> Greater than g(x).
  • j(x) = -4(x + 2)² + 8 = f(0) = -8.
  • k(x) = 0.25(x - 4)² + 4 -> f(0) = 8 -> Greater than g(x).
  • m(x) = 0.25|x - 8| + 6 -> f(0) = 8 -> Greater than g(x).

More can be learned about the y-intercept of a function at brainly.com/question/24737967

#SPJ4

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