Rank the functions in Exercises 1–3 in order of increasing steepness.
Exercise 1
For the functions in this Exercise, do the following:
a. Find the slope and y-intercept (if possible) of the graph of the function.
b. Determine if the graph is rising or falling.
c. Graph each function on a window with the given x-range and a y-range that shows a complete graph.
y = 4x + 5; [−5, 5]
Exercise 2
For the functions in this Exercise, do the following:
a. Find the slope and y-intercept (if possible) of the graph of the function.
b. Determine if the graph is rising or falling.
c. Graph each function on a window with the given x-range and a y-range that shows a complete graph.
y = 0.001x − 0.03; [−100, 100]
Exercise 3
For the functions in this Exercise, do the following:
a. Find the slope and y-intercept (if possible) of the graph of the function.
b. Determine if the graph is rising or falling.
c. Graph each function on a window with the given x-range and a y-range that shows a complete graph.
y = 50,000 − 100x; [0, 500]
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