Question

Write the equation of the piecewise function. Algebra 2

Answer 1

C.
`y=\begin{cases}2-x&x<0\\5-3x&x\ge 0\end{cases}`

D.
`y=\begin{cases}-2&x<-3\\4&x>-3\end{cases}`

Explanation:

C. The line to the left of x=0 has a slope of -1 and a y-intercept of 2. That portion of the function does not include x=0. The line to the right of x=0 has a slope of -3 and a y-intercept of 5. That portion of the function includes the case x=0.

`\boxed{y=\begin{cases}2-x&x<0\\5-3x&x\ge 0\end{cases}}`

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D. The line to the left of x=-3 is y=-2; the line to the right of there is y=4. The function is not defined at x=-3.

`\boxed{y=\begin{cases}-2&x<-3\\4&x>-3\end{cases}}`