Question

For the graphed function f(x) = (4)^(x − 1) + 2, calculate the average rate of change from x = 1 to x = 2.

Answer 1

@MathMusician

Answer 2

@welshfella

Answer 3

@4everaddicted2anime

Answer 4

−3
3
2
−2

Answer 5

@Nurali

Answer 6

@ParthKohli

Answer 7

average rate of change from x = 1 to x = 2 is

\[f(x)=\frac{ f(2)-f(1) }{ 2-1 }\]

Answer 8

first find f(2) and f(1)

Answer 9

\[f(x)=4^{x-1}+2\]

Answer 10

plugin x = 2 for f(2)

Answer 11

\[f(2)=4^{2-1}+2=4^{1}+2=6\]

Answer 12

plugin x = 1 for f(1)

Answer 13

\[f(1)=4^{1-1}+2=4^{0}+2=1+2=3\]

Answer 14

now

\[f(x)=\frac{ 6-3 }{ 2-1 }\]

Answer 15

Hope this will help.