In Exercises 1–4 of Section 10.2, the effect of a when

QUESTION:

Problem 48E

In Exercises 1–4 of Section 10.2, the effect of a when graphing y = af(x) was discussed. Now describe how this relates to the fact that Dx[af(x)] = af′(x).

Exercises 1

Using the graph of f(x) in Figure, show the graph of a f(x) where a satisfies the given condition.

0 <a <1

Exercises 2

Using the graph of f(x) in Figure, show the graph of a f(x) where a satisfies the given condition.

1 <a

Exercises 3

Using the graph of f(x) in Figure, show the graph of a f(x) where a satisfies the given condition.

− 1 <a < 0

Exercises 4

Using the graph of f(x) in Figure, show the graph of a f(x) where a satisfies the given condition.

a < −1

FIGURE