- algebraic functions (polynomial, rational, power)
- transcendental functions (exponential, logarithmic, trigonometric)
- piecewise functions, including absolute value.
[C, CN, ME, R, T, V]
| (a) |
Identify functions as algebraic, transcendental, and piecewise from their graphs and from their equations. |
| (b) |
Identify functions as being even, odd, increasing, decreasing, one-to-one, and many-to-one from their graphs and from their equations. |
| (c) |
Critique the statement, “The graph of an absolute value function will be located entirely above the x-axis.” |
| (d) |
Develop, generalize, explain, and apply strategies for determining the domain of a function from its equation and from its graphical representation. |
| (e) |
Develop, generalize, explain, and apply strategies for determining the range of a function from its equation and from its graphical representation. |
| (f) |
Identify and express the domain and range of a function using set and interval notation. |
| (g) |
Develop, explain, and apply strategies for determining characteristics including symmetry, direction, and end behaviour of functions from their equations and from their graphs. |
| (h) |
Analyze rational functions to determine conditions where x intercepts, vertical asymptotes, and holes exist by identifying the values of the domain that produce values which are zero, undefined, or indeterminate. |
| (i) |
Critique the statement, “If the denominator of a rational function equals zero at $x = a$, then the rational function has a vertical asymptote at $x = a$.” |
