Task 1 modeled after Activity 2.2.7. Except just give one function (randomly chosen from a polynomial, piecewise, radical, or rational) and ask for f of two values. Occasionally throw in something undefined.
Task 2 modeled after Activity 2.2.13. Give a graph (polynomial, piecewise, radical, or rational, reuse randomization from Task 1 maybe?), then ask:
Find f(some value).
For which x-value(s) in the interval [ , ] does f(x)= some value?
The second question should have between 0 and 3 answers, changing depending on the problem. Interval can depend on the function, or fix to something like [-10,10]. Can ask students to estimate if needed like part (d) of the activity if it's too contrived to fix everything to an integer or integer.5 value that's easy to see in a graph.
Reviewer: @kathypinzon
Task 1 modeled after Activity 2.2.7. Except just give one function (randomly chosen from a polynomial, piecewise, radical, or rational) and ask for f of two values. Occasionally throw in something undefined.
Task 2 modeled after Activity 2.2.13. Give a graph (polynomial, piecewise, radical, or rational, reuse randomization from Task 1 maybe?), then ask:
The second question should have between 0 and 3 answers, changing depending on the problem. Interval can depend on the function, or fix to something like [-10,10]. Can ask students to estimate if needed like part (d) of the activity if it's too contrived to fix everything to an integer or integer.5 value that's easy to see in a graph.