October 29, 2007

Students explore relationships in polynomial graphs using a graphing calculator. This activity has students compare and contrast features of graphs and make general function about the degree of a function and its behavior.

- Mathematics > General
- Mathematics > Calculus
- Mathematics > Equations
- Mathematics > Graphing
- Mathematics > Trigonometry

- Grade 9
- Grade 10
- Grade 11
- Grade 12

Graph linear and quadratic functions and show intercepts, maxima, and minima.

Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.

Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.

Graph linear and quadratic functions and show intercepts, maxima, and minima.

Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.

Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology.