Question

A piecewise function f(x) is defined as shown.f(x) = StartLayout enlarged left-brace 1st Row 1st column negative five-fourths x + 90, 2nd column 0 less-than-or-equal-to x less-than 40 2nd row 1st column negative three-eighths x + 75, 2nd column 40 less-than-or-equal-to x less-than-or-equal-to 200 EndLayoutWhich table could be used to graph a piece of the function?

Answer 1

Given:

$\begin{gathered} -\frac{5}{4}x+90,\text{ 0}\leq x<40 \\ -\frac{3}{8}x+75,40\leq x\leq200 \end{gathered}$

Required:

Which table would be used to graph a piece of the function.

Explanation:

Here the function is broken at the three points x=0, x=40, x=200.

So we will choose that table in which the values of x are 0,40,200.

In this table, you can see the values of x are 0,40, and 200.

Final Answer:

The correct answer is