which statement is true regarding the functions on the graph?\n○ f(6)=g(3)\n○ f(3)=g(3)\n○ f(3)=g(6)\n○…
which statement is true regarding the functions on the graph?\n○ f(6)=g(3)\n○ f(3)=g(3)\n○ f(3)=g(6)\n○ f(6)=g(6)
Answer
Explanation:
Step1: Find the value of f(3)
Locate x = 3 on the x - axis. For the function y = f(x) (blue line), when x = 3, y = 6. So f(3)=6.
Step2: Find the value of g(3)
Locate x = 3 on the x - axis. For the function y = g(x) (red line), when x = 3, y = 4. So g(3)=4.
Step3: Find the value of f(6)
Locate x = 6 on the x - axis. For the function y = f(x) (blue line), when x = 6, y = 12. So f(6)=12.
Step4: Find the value of g(6)
Locate x = 6 on the x - axis. For the function y = g(x) (red line), when x = 6, y = 6. So g(6)=6.
Step5: Check each option
- Option 1: f(6)=12 and g(3)=4, so f(6)≠g(3).
- Option 2: f(3)=6 and g(3)=4, so f(3)≠g(3).
- Option 3: f(3)=6 and g(6)=6, so f(3)=g(6).
- Option 4: f(6)=12 and g(6)=6, so f(6)≠g(6).
Answer:
f(3)=g(6)