Question

Given the following linear function, sketch the graph of the function and find the domain and range. f(x)=2/3x-3

Answer 1

First You Have To Plot It At -3 On the Graph And Go Up 2 And Over To The Right 3

Answer 2

(a) Graph : In attachment

(b) Domain: (-∞,∞)

(c) Range: (-∞,∞)

Explanation:

Given:
`f(x)=(2)/(3)x-3`

It is a linear function.

For sketch:

Put x=3 into f(x) to get y

f(3) = 2 - 3 = -1

Point (3,-1)

Put x=-3 into f(x) to get y

f(3) = -2 - 3 = -5

Point (-3,-5)

Plot the points on graph and join the points. Please find the attachment.

For domain:

It is input value of x where function is well defined.

Domain: All real number

For range:

It is output value of y.

Range: All real number.