Question

Which of the following graphs represent functions Circle your answers. If it is a function, state the domain

and range. If the graph is not included, make a table and graph the function by hand.

Answer 1

Explanation:

A). y = |2x - 3| + 1

Domain of function is defined by the x-values (Input values) and Range by the y-values(Output values).

From the graph,

Domain : (-∞, ∞)

Range : [1, ∞)

B). Table of the input-output values of the function,

y = x² - 2x + 1

x -2 -1 0 1 2

y 9 4 1 0 1

By graphing the function as attached,

Domain of the function : (-∞, ∞)

Range of the function : [0, ∞)

C). x² + y² = 3²

Domain of the function : [-3, 3]

Range of the function : [-3, 3]

D). x = 5

Domain of the line : [5, 5]

Range of the line : (-∞, ∞)