1 / 2

Example 1 Use the graph of y=2 x to sketch the graph of each function. (a) f(x) = 2 -x

Example 1 Use the graph of y=2 x to sketch the graph of each function. (a) f(x) = 2 -x Solution Recall the graph of y=2 x from Figure 19 in Section 4.2.

idalia
Télécharger la présentation

Example 1 Use the graph of y=2 x to sketch the graph of each function. (a) f(x) = 2 -x

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Example 1 Use the graph of y=2xto sketch the graph of each function. (a)f(x) = 2-x Solution Recall the graph of y=2xfrom Figure 19 in Section 4.2. The graph of is obtained by from the graph of y=2x by replacing x by –x, i.e by reflecting the graph of y=2x about the y-axis. y=2x y=2-x

  2. Solution Observe that g(-x) = g(x) and g is an even function. The graph of g for x>0 is obtained from the graph of y=2xby increasing the y-coordinate of each point, i.e. the graph of g rises faster than the graph of y=2x. The graph of g for x<0 is obtained by reflecting the graph of g for x > 0 about the y-axis. See the left diagram below. Solution Since the graph of h is obtained by reflecting the graph of g about the blue line y=1 and compressing the resulting curve to keep it between the x-axis and the line y=1. See the right diagram above. y=2x

More Related