AIM: How do we graph functions and find their intercepts? Do Now: How would you “describe” this function? 3x + y = 7 HW #2 – page 9 #1-4, 5-9 (odd only)

In calculus, its important that you can look at things from different perspectives . With functions there are 3 views: Draw the Construct a Put into graph table of values y = mx +b form VISUALLY NUMERICALLY ANALYTICALLY

TRY DOING EACH “VIEW” WITH 3x + y = 7

What would happen if we try and graph y = 1 X (39 – 10x² + x⁴)? 30 Construct a table of values and draw the graph. Find the y – value when x = -3,-1,0,1,3

Finding X and Y Intercepts How many and where are the x and y intercepts in each graph?

It’s easy if we have a graph, what’s happens if we don’t? Finding the x-intercept – let y = 0 and solve for x (usually involves factoring) Finding the y – intercept – let x = 0 and solve for y

Example 1 Find the x and y intercepts for y = x³ - 4x

Find the x and y intercepts: 2) y = √9 – x² 3) y = 2x² + x 4) y = 2x - √x² + 1