The figure shows graphs of several functionsF(x) whose slope at each x is StartFraction 4 x Over StartRoot x plus 1 EndRoot EndFraction

4x

x+1. Find the expression for the functionF(x) whose graph passes through left parenthesis 0 comma 8 right parenthesis .

(0,8).

x

y

A coordinate system has a horizontal x-axis and a vertical y-axis. Five parallel curves fall at a decreasing rate and then rise at an increasing rate from left to right. One of the curves passes through a plotted point.

Find the functionF(x) whose graph passes through left parenthesis 0 comma 8 right parenthesis .

(0,8).

F(x)equals

=

2 x left parenthesis x plus 4 right parenthesis Superscript one half Baseline StartFraction nothing Over nothing EndFraction