Question

use the graph of the function ( f(x) ) to fill in answers to the question below.

answer attempt 1 out of 2

on the interval 3, 8 the function is ​ ​ at ​ ​ rate.

Explanation:

Step1: Analyze the graph's slope on [3,8]

The graph of \( f(x) \) on the interval \([3, 8]\) is increasing (as the \( y \)-values rise with increasing \( x \)-values). Also, the curve is getting steeper, so the rate of change (slope) is increasing.

Step2: Determine the function's behavior

For the first blank, since the function's \( y \)-values increase as \( x \) increases from 3 to 8, the function is "increasing". For the second blank, as the slope (rate of change) is increasing (the curve is concave up and getting steeper), the rate is "increasing".

Answer:

On the interval \([3, 8]\) the function is \(\boldsymbol{\text{increasing}}\) at \(\boldsymbol{\text{an increasing}}\) rate.