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Find the domain of the graphed function

A. -4 SXs8
B. x is all real numbers.
C. X2-4
D. -45xs9

Find the domain of the graphed function A. -4 SXs8 B. x is all real numbers. C. X-example-1

1 Answer

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Answer:

The domain of the function is -4 ≤ x ≤ 9 ⇒ D

Explanation:

  • The domain of any relationship is the values of the input
  • The domain of the function f(x) = y is the values of x which make the function defined

In the given figure

∵ There are 5 intervals between 0, 10 and 0, -10 on the x-axis

∴ Each square = 2

∵ There are 5 intervals between 0, 10 and 0, -10 on the y-axis

∴ Each square = 2

→ Find the coordinates of the starting and the ending point of the graph

∵ The starting point located 2 squares left and 2 squares down

∴ The starting point of the graph of the function is (-4, -4)

∵ The ending point located 4.5 squares right and 4 squares up

∴ The ending point of the graph of the function is (9, 8)

→ That means the x-coordinates of all points on the graph is from -4 to 9

∴ All values of x-coordinates on the function are located on -4 ≤ x ≤ 9

∵ The domain of the function is the values of x

The domain of the function is -4 ≤ x ≤ 9

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