Use the piecewise function below to evaluate the points f(–3), f(0), and f(–1). {9x,x−4,x<−1x≥−1 Question 17 options:

Question

Use the piecewise function below to evaluate the points f(–3), f(0), and f(–1).

{9x,x−4,x<−1x≥−1
Question 17 options:

f(–3) = –7, f(0) = –0, and f(–1) = 5

f(–3) = –27, f(0) = –4, and f(–1) = 5

f(–3) = –7, f(0) = –4, and f(–1) = –1

f(–3) = –27, f(0) = –4, and f(–1) = –5

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Khải Quang 4 years 2021-08-14T18:06:05+00:00 1 Answers 6 views 0

Answers ( )

  1. Xavia
    0
    2021-08-14T18:07:11+00:00
    Reply

    Given:

    The piecewise function is:

    f(x)=\begin{cases}9x & \text{ if } x<-1 \\ x-4 & \text{ if } x\geq -1 \end{cases}

    To find:

    The values of f(-3),f(0), f(-1).

    Solution:

    In the given piecewise function,

    f(x)=9x for x<-1 and f(x)=x-4 for x\geq -1.

    Putting x=-3 in f(x)=9x, we get

    f(-3)=9(-3)

    f(-3)=27

    Putting x=0 in f(x)=x-4, we get

    f(0)=0-4

    f(0)=-4

    Putting x=-1 in f(x)=x-4, we get

    f(-1)=-1-4

    f(-1)=-5

    The required values are f(-3)=27,f(0)=-4,f(-1)=-5.

    Therefore, the correct option is D.

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