Question

MEDAL & FAN
The table below represents a linear function f(x) and the equation represents a function g(x):

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). (6 points)

Part B: Which function has a greater y-intercept? Justify your answer. (4 points)

Answer 1

to know the slope of function when you have 2 points is \[\Delta y /\Delta x \]
if you have (x2,y2) and (x1,y1)
the result will be ( y2-y1/x2-x1)

Answer 2

if you take 2 point in the table (-1,-5) and (0,-1)
\[\frac{(-5-(-1)) }{ (-1-0) } = 4\]
the slope of f(x) = 4 and slope of g(x) is give in equation 4 too

Answer 3

BlAHAHAHAHAAHAHA

Answer 4

to find f(x) you can use with point (0,-1):-
f(x) - y1 = 4(x - x1)
f(x) - (-1 )= 4x-0
f(x) = 4x -1 you can check the function on the table

Answer 5

How do you give people a medal

Answer 6

Part b :-
you can ask your self which function have greater value in specific point.
we choose randomly (0,0) :-
g(0) =3 and f(0) =-1
then g(x) will be always greater than f(x).

Answer 7

good to mention that two functions g(x) and f(x) is have same slope which mean they are parallel .

Answer 8

oh, thank you !