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

(a) Graph : In attachment

(b) Domain: (-∞,∞)

(c) Range: (-∞,∞)

Step-by-step explanation:

Given:

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.

-13

step-by-step explanation:

f(x)=2x-5 for f(-4)

f(-4)   means let x=-4

f(-4) = 2(-4) -5

f(-4) =-8-5

      = -13