Question

Use the piecewise-defined function to fill in the bla.f(x)={4, -4<x<-2,2x-4, -1<x<2, 3x, 2<=x<5}a.

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asked 2021-02-21

Use the piecewise-defined function to fill in the bla
.
\(\displaystyle{f{{\left({x}\right)}}}={\left\lbrace{4},-{4}{<}{x}{<}-{2},{2}{x}-{4},-{1}{<}{x}{<}{2},{3}{x},{2}\le{x}{<}{5}\right\rbrace}\)
a. The domain ____ is used when graphing the function \(f(x)=2x-4\).
b. The equation ____ is used to find \(f(4)=12.\)

Answers (1)

2021-02-22

a. The domain is the x values so to find the domain used to graph

\(f(x)=2x−4\),

you need to determine what values this piece is defined for. From the piece-wise defined function,

\(f(x)=2x−4\)

is defined for −1 b.

If you are finding f(4), then \(x=4\).

From the piece-wise defined function, the domain that includes \(x=4\)

is \(2\leq x<\).

This domain is for the piece of \(f(x)=3x\).

Therefore, the equation \(f(x)=3x\) is used to find \(f(4)=12\).

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