| (a) |
Sketch the graph of the function $y=√x$ using a table of values, and state the domain and range of the function. |
| (b) |
Develop, generalize, explain, and apply transformations to the function $y=√x$ to sketch the graph of $y-k=a√{b(x-h)}$. |
| (c) |
Sketch the graph of the function $y=√{f(x)}$ given the graph of the function $y=f(x)$, and compare the domains and ranges of the two functions. |
| (d) |
Describe the relationship between the roots of a radical equation and the x-intercepts of the graph of the corresponding radical function. |
| (e) |
Determine, graphically, the approximate solutions to radical equations. |
| (f) |
Sketch rational functions, with and without the use of technology. |
| (g) |
Explain the behaviour (shape and location) of the graphs of rational functions for values of the dependent variable close to the location of a vertical asymptote. |
| (h) |
Analyze the equation of a rational function to determine where the graph of the rational function has an asymptote or a hole, and explain why. |
| (i) |
Match a set of equations for rational and radical functions to their corresponding graphs. |
| (j) |
Describe the relationship between the roots of a rational equation and the x-intercepts of the graph of the corresponding rational function. |
| (k) |
Determine graphically an approximate solution to a rational equation. |
| (l) |
Critique statements such as "Any value that makes the denominator of a rational function equal to zero will result in a vertical asymptote on the graph of the rational function". |
