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.

Functions

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 $$f(4)=12.$$

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 $$f(4)=12$$.