leahg123
contestada

Question 1(Multiple Choice Worth 6 points)

(07.06)

For the graphed function f(x) = −(3)x − 1 + 3, calculate the average rate of change from x = 1 to x = 3.

graph of f of x equals negative 1 times 3 to the x minus 1 power, plus 3.

−4
−2
2
4

Question 1Multiple Choice Worth 6 points 0706 For the graphed function fx 3x 1 3 calculate the average rate of change from x 1 to x 3 graph of f of x equals neg class=

Respuesta :

CastleRook
The rate of the change for the function between points x=1 and x=3 will be given by:
[f(3)-f(1)]/(3-1)
f(3)=-6
f(1)=2

thus the rate of change will be:
(-6-2)/(3-1)
=-8/2
=-4
Answer: -4

Answer:

Hence, the rate of change of f(x) from x=1 to x=3 is given by:

-4

Step-by-step explanation:

We have to find the rate of change of the function f(x) from x=1 to x=3 which is defined as:

[tex]f(x)=-(3)^{x-1}+3[/tex]

The rate of change of the function f(x) from x=1 to x=3 is given by:

[tex]\dfrac{f(3)-f(1)}{3-1}[/tex]

we know that:

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

Similarly,

[tex]f(3)=-(3)^{3-1}+3\\\\f(3)=-(3)^2+3\\\\f(3)=-9+3\\\\f(3)=-6[/tex]

Hence, the rate of change is given as:

[tex]\dfrac{-6-2}{3-1}\\\\=\dfrac{-8}{2}\\\\=-4[/tex]

Hence, the rate of change of f(x) from x=1 to x=3 is given by:

-4

Otras preguntas