A function evaluation gives you an input and asks for its output. The number inside the function’s parentheses is the input, so put it in place of the variable everywhere in the rule. In Desmos, define the function and then enter it with that input. Square the sum in parentheses before subtracting anything outside it.
Hints
- Hint 1
In function notation, the number inside is the input. To find the output, replace in the given rule with that number. What expression do you get?
- Hint 2
The order of operations keeps a sum in parentheses together. Add inside the parentheses first, square that sum, and then subtract the number outside. Which part of the substituted expression gets squared?
Step-by-step
Substitute, then evaluate
Step 1Put the input into the rule
In function notation, means is the input. Replace with before you calculate:
The parentheses tell you to square the whole sum, not to subtract first.
- Step 2
Read the output in Desmos
Type into Desmos to define the rule, then type on the next line. Desmos shows , the output for input . So the value of is . Grid in 4.