This package includes 40 functions to help students understand and make connections between the reflections of parent functions, and the resulting changes in domain, range, and end behavior. This activity is great for students to work collaboratively and to discuss the connections in math with one another. It a great review of precalculus before students begin calculus.
As a teacher there are three options:
1. You can give your students a graph of a function and they must fill in the equation, the domain and range, and the end behavior. (5 pages)
2. You can give your students an equation of a function and they must sketch a graph, and give the domain and range, and the end behavior. (5 pages)
3. You can give your students the answer key as a resource for them to keep and refer back to throughout the year. (5 pages)
This activity will allow students to gain a better understand of x-intercepts, y-intercepts, domain, range, asymptotes, increasing and decreasing intervals, maximum and minimum values, symmetry, vertical and horizontal reflections, and limits.
This package covers the following parent functions.
1. Linear Function
2. Absolute Value Function
3. Quadratic Function
4. Cubic Function
5. Square Root Function
6. Cube Root Function
7. Rational Function
8. Exponential Function
9. Logarithmic Function
10 Trigonometric Functions (sin/cos/tan/cot/sec/csc)
11. Constant Function
12. Greatest Integer Function