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 .
Now, the rate average rate of change of a function from to
is given by
.
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. i.e. f(0) = 3
and i.e.
i.e. f(1) = 3
Thus, the rate of change from x=0 to x=1 is i.e.
i.e. 0
Hence, the average rate of change from x=0 to x=1 for f(x) is 0.
Refer to the image for the graph of the lines.
The common form of the equation of a line is y = mx + c, where m is the slope of the line and c is a constant.
We need to draw any line with a slope m = 2, and
another line with a slope m = -2.
Disclaimer: Let us assume that the constant c = 0.
Then the equation to the line with a slope of "positive" 2 is given by
y = 2x
Then the equation to the line with a slope of "negative" 2 is given by
y = -2x
Refer to the attached image for the graph of the lines with the slope of "positive" 2 and "negative" 2.
f: green line indicates a line with a slope of "positive" 2.
g: blue line indicates a line with a slope of "negative" 2.
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