1 / 6

P.1 Graphs and Models

P.1 Graphs and Models. I’m so. to be in Calculus!!!. Sketching a Graph by Point Plotting. Sketch the graph of y = x 2 - 2. x y. -2 -1 0 1 2 3. 2 -1 -2 -1 2 7. Finding x- and y-intercepts. Find the x- and y-intercepts of the graph of y = x 3 - 4x.

jaime-britt
Download Presentation

P.1 Graphs and Models

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. P.1 Graphs and Models I’m so to be in Calculus!!!

  2. Sketching a Graph by Point Plotting Sketch the graph of y = x2 - 2 x y -2 -1 0 1 2 3 2 -1 -2 -1 2 7

  3. Finding x- and y-intercepts

  4. Find the x- and y-intercepts of the graph of y = x3 - 4x To find the x-intercepts, let y be zero and solve for x. 0 = x3 - 4x This factors into? x(x - 2)(x + 2) = 0 the graph has the three x-intercepts: (0,0), (2,0), (-2,0) x = 0, 2, or -2 To find the y-intercepts, let x = 0. y = 03 - 4(0) This produces y = 0. So, the y-intercept is (0,0).

  5. Symmetry (x,y) (-x,y) (x,y) (x,y) (x,-y) (-x,-y) x-axis origin y-axis (-x,y) , (x,-y) , and (-x,-y) are the key points in determining symmetry.

  6. Check for symmetry with respect to both axes and the origin. Ex. 4 xy3 + 10 = 0 Plug in the three ordered pairs. If you can get it to look like the original equation, it has that symmetry. y-axis (-x,y) Is this, or can we get this to look like the original? (-x)y3 + 10 = 0 -xy3 + 10 = 0 No. x-axis (x,-y) x(-y)3 + 10 = 0 -xy3 + 10 = 0 Not like the original. origin (-x,-y) (-x)(-y)3 + 10 = 0 This graph has origin symmetry. xy3 + 10 = 0

More Related