Question

PLEASE HELP!!!!!!!!!QUICK


1.(03.03 MC) The table below represents a linear function f(x) and the equation represents a function g(x). X F(x) g(x)=5x +1 -1. -11
0. -1
1. 9

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 gx). (6 points)

Part B: Which function has a greater y-intercept? Justify your answer. (4 points) (10 points)

thanks :)

Answer 1

For this case we have the following table:
 X    F(x) 
 -1   -11 
 0    -1 
 1     9
 From here, we look for the function f (x).
 We then have that as the equation is linear:
$y-yo = m (x-xo)$
 Where,
 $m = (y2-y1) / (x2-x1) m = (9 - (- 1)) / (1-0)$
 $m = (9+1)/(1) m = 10$
 We choose an ordered pair:
 $(xo, yo) = (0, -1)$
 Substituting values:
 $y + 1 = 10 (x-0)$
 Rewriting:
 $y = 10x - 1$
 Thus, the function f (x) is:
 $f (x) = 10x - 1$
 On the other hand, the function g (x) is:
 $g (x) = 5x +1$
 Answer:
 The slope of f (x) is greater than the slope of g (x) (10> 5)
 The intersection with the y axis of g (x) is greater than the intersection with the y axis of f (x) (1> -1)