1. Keeper 2 Honors Calculus
Graphs and Models
Keeper 2
Honors Calculus

2. Intercepts of a Graph
An x-intercept is a point in the equation where the y-value is zero, and
A y-intercept is a point in the equation where the x-value is zero

3. Example – Find the Intercepts
𝑦= 𝑥 3 −4𝑥

4. Example – Find the Intercepts
𝑦= 𝑥 2 +𝑥−2

5. Example – Find the Intercepts
𝑦= 𝑥 2 9− 𝑥 2

6. Example – Find the Intercepts
𝑦=2𝑥− 𝑥 2 +1

7. Symmetry of a Graph

8. Example: Testing for Symmetry
Determine the symmetry of the equation:
𝑦=2 𝑥 3 −𝑥

9. Example: Testing for Symmetry
Determine the symmetry of the equation:
𝑦= 𝑥 2 −6 𝑥 4 +2

10. Example: Testing for Symmetry
Determine the symmetry of the equation:
𝑦=2 𝑥 3 − 𝑥 5

11. Example: Testing for Symmetry
Determine the symmetry of the equation:
𝑦 4 + 𝑥 3 −5𝑥=0

12. Example: Testing for Symmetry
Determine the symmetry of the equation:
𝑦= 𝑥 3 + 𝑥 2 +𝑥+1

13. Example: Testing for Symmetry
Determine the symmetry of the equation:
𝑥 2 + 𝑦 2 =1

14. Finding Points of Intersection
Set the two equations equal to each other and solve!

15. Example: Finding Intersections
𝑦=2𝑥−1 and 𝑦=𝑥+1

16. Example: Finding Intersections
𝑥 2 −𝑦=3 and 𝑥−𝑦=1

17. Example: Finding Intersections
𝑦= 𝑥 2 −2𝑥−3 and 𝑦=2𝑥−3

18. Example: Finding Intersections
𝑦= 𝑥 2 −1 and 𝑦=2𝑥−3

19. Example: Finding Intersections
𝑦= 𝑥 3 −3𝑥+2 and 𝑥 2 −2𝑥−𝑦=−1

20. Example: Finding Intersections
𝑦= 𝑥 2 and 𝑦= 𝑥