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kirza4 [7]
3 years ago
9

Use the following graph of the function f(x) = −3x4 − x3 + 3x2 + x + 3 to answer this question: graph of negative 3 x to the fou

rth, minus x cubed, plus 3 x squared, plus x plus 3 What is the average rate of change from x = 0 to x = 1?
Mathematics
1 answer:
Serggg [28]3 years ago
7 0

Answer:

The average rate of change from x=0 to x=1 for f(x) is 0.

Step-by-step explanation:

We are given the function f(x)=-3x^{4}-x^{3}+3x^{2}+x+3.

Now, the rate average rate of change of a function from y=x_{1} to y=x_{2} is given by \frac{f(x_{2})-f(x_{1})}{x_{2}-x_{1}}.

As, we need the rate of change from x = 0 to x = 1.

So, we will find the values of f(0) and f(1).

i.e. f(0)=-3\times0^{4}-0^{3}+3\times0^{2}+0+3 i.e. f(0)  = 3

and f(1)=-3\times1^{4}-1^{3}+3\times1^{2}+1+3 i.e. f(1)=-3-1+3+1+3 i.e. f(1) = 3

Thus, the rate of change from x=0 to x=1 is \frac{f(1)-f(0)}{1-0} i.e.  \frac{3-3}{1-0} i.e. 0

Hence, the average rate of change from x=0 to x=1 for f(x) is 0.

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