The table below represents a linear function f(x) and the equation represents a function g(x): x f(x)
−1 −9
0 −1
1 7
g(x)

g(x) = 3x − 2

Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).

Part B: Which function has a greater y-intercept? Justify your answer.

(a) The slope of f(x) is greater than the slope of g(x)

(b) f(x) has a greater y intercept

Step-by-step explanation:

Given

Solving (a): Compare the slopes

The slope (m) of f(x) is calculated as;

This gives:

Substitute values for f(0) and f(1)

The slope of g(x) can be gotten using the following comparison

So:

Solving (b): Compare the y intercept

y intercept is when

From the table of f(x)

From the equation of g(x)

the transverse axis of a hyperbola is the line that contains the two vertices and the two focuses.

in this example (hyperbola of equation x^2/2 - y^2/4 = 1), the transverse axis is the  x-axis  . 

step-by-step explanation:

step-by-step explanation:

first you will have to convert 3/4 into a decimal

which is .75

then you will have to divide 1.5 by .75

which is 2

no you have to divide