Question

This is the graph of f(x). What is the value of f(3)?

Answer 1

Answer:

The value of f(3) is 8 ⇒ D

Step-by-step explanation:

• In the function f(x) = y, y is the corresponding value of x

• Ex: If f(a) = b, then the value of y = b at x = a

Let us solve the question

∵ The given figure represents the function f(x)

→ That means every point on the graph represents f(x) = y

∴ f(x) = y

∵ We need to find f(3)

→ That means we need the value of y at x = 3

∴ x = 3

Look at the graph and find the y-coordinate of the point that lies on the curve and has x-coordinate = 3

→ Each small square on the x-axis represents 1 unit, and on the y-axis

   represents 2 units

∵ There is a point on the graph that has x-coordinate = 3

∵ The y-coordinate of this point is 8

∴ The point (3, 8) lies on the graph of f(x)

∴ x = 3 and y = 8

∴ f(3) = 8

∴ The value of f(3) is 8