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

2. 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

3. TRY DOING EACH “VIEW” WITH 3x + y = 7

4. 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

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

6. 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

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

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