Evaluate the function it at x = -1 and x = 5.
P(x)=
x²+2 if x <4
2x+10 if x >4

Question

06-04-2022
Mathematics

Answered

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Evaluate the function it at x = -1 and x = 5.
P(x)=
x²+2 if x <4
2x+10 if x >4

Sagot :

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Sqdancefanidn Sqdancefanidn · Answer 1 · 2022-04-06T15:06:29-04:00

Answer:

f(-1) = 3

f(5) = 20

Step-by-step explanation:

When evaluating a piecewise-defined function, the first step is to locate the argument value in the correct domain. Then the corresponding function is evaluated in the usual way.

__

For x=-1, the relevant piece is the one defined for x < 4:

f(x) = x² +2

f(-1) = (-1)² +2 = 3

__

For x=5, the relevant piece is the one defined for x > 4:

f(x) = 2x +10

f(5) = 2(5) +10 = 20

_____

Additional comment

The function written in this problem statement is "undefined" at x=4, so the graph would ordinarily show a "hole" there. We're not sure whether that is intentional.

Sagot :

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