In Problems 1–3:
(a) Determine the slope and y-intercept of each linear function.
(b) Find the average rate of change of each function.
(c) Graph each function. Label the intercepts.
(d) Determine whether the function is increasing, decreasing, or constant.
(a) The slope is and -intercept is
(b) The average rate of change of is
(c) The graph of is
(d) The function is increasing.
It is given that We need to determine the slope and -intercept of each linear function.
The given function is, If the function is then is the slope and is the -intercept of the function. So, the slope is and -intercept is for the linear function
It is given that We need to determine the average of the change of the function.
We know that the average rate of change is the same as the slope is
It is given that We need to graph the function and label the intercept.
The graph of is
The given function is We need to determine whether the function is increasing, decreasing, or constant.
As we increase the value of the argument the function values rise so the function is increasing all the time.
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