Question

i need to determine which functions has the greater rate of change, between the table and graph

Answer 1

Given:

A graph and a table

The rate of change can be calculated using the formula:

$rate\text{ of change = }\frac{f(b)-\text{ f\lparen a\rparen}}{b-a}$

The rate of change of the table

$\begin{gathered} rate\text{ of change = }\frac{2-1}{1-0} \\ =1 \end{gathered}$

The rate of change of the graph

$\begin{gathered} rate\text{ of change = }\frac{2-1}{1-0} \\ =\text{ 1} \end{gathered}$

Hence, we can conclude that the rate of change are equal

Answer: Option A