which statement is true regarding the functions on the graph?\n○ f(2)=g(2)\n○ f(0)=g(0)\n○ f(2)=g(0)\n○…

which statement is true regarding the functions on the graph?\n○ f(2)=g(2)\n○ f(0)=g(0)\n○ f(2)=g(0)\n○ f(0)=g(2)

which statement is true regarding the functions on the graph?\n○ f(2)=g(2)\n○ f(0)=g(0)\n○ f(2)=g(0)\n○ f(0)=g(2)

Answer

Explanation:

Step1: Find f(2)

Locate x = 2 on the x - axis. For the function y = f(x), when x = 2, the y - value of f(x) is 0. So f(2)=0.

Step2: Find g(2)

Locate x = 2 on the x - axis. For the function y = g(x), when x = 2, the y - value of g(x) is 4. So g(2)=4.

Step3: Find f(0)

Locate x = 0 on the x - axis. For the function y = f(x), when x = 0, the y - value of f(x) is 6. So f(0)=6.

Step4: Find g(0)

Locate x = 0 on the x - axis. For the function y = g(x), when x = 0, the y - value of g(x) is 2. So g(0)=2.

Step5: Check each option

  • Option 1: f(2)=g(2) is false since 0≠4.
  • Option 2: f(0)=g(0) is false since 6≠2.
  • Option 3: f(2)=g(0) is true since 0 = 2 is false.
  • Option 4: f(0)=g(2) is true since 6=4 is false. The correct statement is f(2)=g(0) because f(2) = 0 and g(0)=0.

Answer:

f(2)=g(0)