Question

1. Given, f(x) = 3x - 2

a) What type of a function is f(x)?
b) Complete the table below,

c) What is the slope of the function? Prove it using calculations.
d) Will this be a downward sloping line, upward sloping line, a horizontal line or a vertical line? Why?
e) Calculate the x and y intercepts.
f) Draw the function by plotting all the points from the table in b) along with the x and y intercepts.

Answer 1

Hello :)

Step-by-step explanation -

Our task is to complete the table.

1. Given f(x) = 3x - 2.

a) What type of function is f(x)?

Well, f(x) = 3x - 2 is a linear function.

c) What is the slope of the function?

Since the function matches the format of slope-intercept, the slope is the number that appears before x, which is 3.

d) Will this be a downward sloping line, upward sloping line, a horizontal line or a vertical line? Why?

Since the slope is positive, it will be an upward sloping line.

e) Calculate the x and y-intercepts.

Y-intercept = constant term = (0,-2)

X-intercept = setting y equal to 0 (below)

0 = 3x - 2

3x - 2 = 0

3x = 2

x = 2/3

X-intercept = (2/3, 0)

f) Graph.

I've attached the graph per your request!

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