Question

Use the following graph of the function f(x) = 2x4 + 3x2 − x + 1 to answer this question: What is the average rate of change from x = 0 to x = 1?

A 0
B 1
C 4
D 5

Answer 1

I say it's b 1. ... ......

Answer 2

Answer:

C. 4

Step-by-step explanation:

Replace both values of x into the function to find their corresponding y-values.

$f(0)=2(0)^{4}+3(0)^{2} -(0)+1\\f(0)=1\\\\f(1)=2(1)^{4}+3(1)^{2} -(1)+1\\f(1)=2+3-1+1\\f(1)=5$

The rate of change is the slope of the function:

$m=\frac{y_{1}-y_{2}}{x_{1}-x_{2}} \\m=\frac{1-5}{0-1}\\m=\frac{-4}{-1} \\m=4$