A function evaluation gives you an input inside parentheses and asks for the output. Define the rule in Desmos, then enter the function name with that input. For a rule written as a product, check whether any factor becomes zero; don't mistake one factor or the number out front for the whole output.
Hints
- Hint 1
In function notation, means is the input. Replace every in the rule with , keeping the parentheses around the negative number.
- Hint 2
A factor is one part of a multiplication. Check each factor after substituting the input: if one factor is zero, what happens when you multiply it by the others?
Step-by-step
Substitute and evaluate
Step 1Put the input into the rule
The input in is . Evaluating a function means putting that number in for both copies of :
Type the given rule in Desmos so it can make the same substitution.
- Step 2
Read the output
Type on the next line. Desmos shows . A product with a zero factor is zero. Here , so the whole output is , even with out front. Choice C.