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Consider the table of values for function f.

x: -1, 0, 1, 2, 3, 4, 5
f(x): 3.5, 4, 5, 7, 11, 19, 35

The function g is shown below:

g(x)=4x+5

In which of the following intervals is the average rate of change greater for f than for g?

A. [1,3]
B. [3,5]
C. [0,2]
D. [-1,0]

Relax

Respuesta :

Gasaqui

Answer:

B. [3,5]

Step-by-step explanation:

The rate of change of a function is the same as the slope between two given points from that same function,

Hence,

all we need to do is use the slope's equation, that is

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

And eval it in every couple of ordered pairs given from the table we obtain the following>

x2 y2 x1 y1  m

0 4 -1 3,5  0,5

1 5 0 4  1

2 7 1 5  2

3 11 2 7  4

4 19 3 11  8

5 35 4 19  16

The rate of change from g(x) is 4 (its slope)

Hence, the interval when the rate of change of f(x) is greater than g(x) is from x=3 to x=5

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