- polynomial functions of degree ≤ 3
- logarithmic functions
- exponential functions
- sinusoidal functions.
[C, CN, PS, T, V]
(a) |
Analyze the graphs of polynomial functions and report on the characteristics of those graphs. |
(b) |
Graph data and determine, with the use of technology, the polynomial function that best approximates the data. |
(c) |
Develop, generalize, explain, and apply strategies for determining the characteristics of polynomial functions from their equations. |
(d) |
Identify the degree and sign of the leading coefficient for a polynomial function that would best approximate a set of data. |
(e) |
Analyze the graphs of exponential and logarithmic functions and report on the characteristics of those graphs. |
(f) |
Graph data and determine, with the use of technology, the exponential or logarithmic function that best approximates the data. |
(g) |
Develop, generalize, explain, and apply strategies for determining the characteristics of exponential and logarithmic functions from their equations. |
(h) |
Analyze the graphs of sinusoidal functions and report on the characteristics of those graphs. |
(i) |
Graph data and determine, with the use of technology, the sinusoidal function that best approximates the data. |
(j) |
Develop, generalize, explain, and apply strategies for determining the characteristics of sinusoidal functions from their equations. |
(k) |
Match equations of polynomial, logarithmic, exponential, and sinusoidal functions to their corresponding graphs. |
(l) |
Interpret graphs of polynomial, logarithmic, exponential, and sinusoidal functions to describe the situations that each function models and explain the reasoning. |
(m) |
Solve, using technology, situational questions that involve data that is best represented by graphs of polynomial, exponential, logarithmic, or sinusoidal functions and explain the reasoning. |