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Snowcat [4.5K]
3 years ago
6

Question 1(Multiple Choice Worth 6 points)

Mathematics
2 answers:
ella [17]3 years ago
6 0

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:

f(x)=-(3)^{x-1}+3

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

\dfrac{f(3)-f(1)}{3-1}

we know that:

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

Similarly,

f(3)=-(3)^{3-1}+3\\\\f(3)=-(3)^2+3\\\\f(3)=-9+3\\\\f(3)=-6

Hence, the rate of change is given as:

\dfrac{-6-2}{3-1}\\\\=\dfrac{-8}{2}\\\\=-4

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

-4

maw [93]3 years ago
5 0
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
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