the table below represents a linear function f(x) and the equation represents a function g(x):

x f(x)
−1 −12
0 −6
1 0
g(x)

g(x) = 2x + 6

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.

1.the slope of the function f(x) is greater than the slope of the function g(x)

2. the y intercept in the function g(x) is the greater

Step-by-step explanation:

1. plot the graph for the function f(x)

identify points in on the line, i.e (2,6) and (1,0)

find the slope of function f(x)= change in y/change in x

m=(6-0)/2-1 = 6

equation for the function f(x)=   {y-6/x-2}=6

y-6=6x-12

y=6x-6

2. the equations for functions

f(x) is given by y=6x-6

g(x) is given by y=2x+6

y intercept for f(x) =- 6

y intercept for g(x)= +6

g(x) has greater y intercept.

QUESTION A

We can use any two points from the table to determine the slope of the linear function represented by table.

We use (0,-6) and (1,0).

We use the formula,

For the second function

This function is of the form;

where

is the slope.

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

Part B

At y-intercept , x=0.

From the table, x=0 when y=-6.

Therefore f(x) has y-intercept -6.

For

the y-intercept is 6.

Therefore g(x) has greater y-intercept.

Step-by-step explanation:

So, we can assume that LN and PO are equal in length and NO and LP are equal in length as well.  LO and PN are also equal.

We can see that PN is the hypotenus of either triangle NLP or NOP.  LO is the hypotenuse of LOP and LON, so those could be used to find the length as well.  I rather work with NOP, but any work.

We know that NO is 8 units long and LN is 6 units long.  Because LN = PO, PO = 6 units.

So, using the pythagorean theorem, the hypotenuse is:

8^2 + 6^2 = c^2

64 + 32 =c^2

sqrt(96)=c

c~9.8

I don't know how exact they want your answer.

c = 9.79795897113