Question

not all functions are expressed as equations. here is a graph of a function g. the equation is not given, but you can still use function notation to express the outputs for various inputs. examples: 1. g(0) = __ 2. g(4) = 3. g(6) = 4. can you find x - values for which g(x) = 3? 5. f(x) = 6, what is x? 6. f(x) = 0, what is x? 7. what is the domain of the function? 8. range? __

Explanation:

Step1: Find g(0) from graph

Locate x=0, read y-value: $g(0)=3$

Step2: Find g(4) from graph

Locate x=4, read y-value: $g(4)=6$

Step3: Find g(6) from graph

Locate x=6, read y-value: $g(6)=1$

Step4: Find x where g(x)=3

Find y=3, read x-values: $x=0, x=2, x=9$

Step5: Find x where g(x)=6

Find y=6, read x-value: $x=4$

Step6: Find x where g(x)=0

Find y=0, read x-value: $x=7$

Step7: Identify domain (x-range)

Lowest x=0, highest x=12: $0 \leq x \leq 12$

Step8: Identify range (y-range)

Lowest y=0, highest y=6: $0 \leq y \leq 6$

Answer:

1. $3$
2. $6$
3. $1$
4. $x=0$, $x=2$, $x=9$
5. $x=4$
6. $x=7$
7. $[0, 12]$ (or $0 \leq x \leq 12$)
8. $[0, 6]$ (or $0 \leq y \leq 6$)