Which function below has the largest slope? . f(x) xf(x). -3-10. -1-7. 1-4. . g(x). g(x) over g(x) equals one half x plus 3. h(x). lance gains 1 level each time he plays his favorite video game. he started at level 10.. f(x). g(x). h(x). the functions all have the same slope

For f(x), choose any two points say (-3,-10) and (-1,-7) where

x1 = -3 ; y1 = -10 ; x2 = -1 ; y2 = -7

Find the slope (m)

m=(y2 - y1) / (x2 - x1) = (-7 - -10)/ (-1 - -3) = 3/2 or 1.5

slope of f(x) = 1.5

g(x) = 1/2 x  + 3

standard formula: y = mx + b where m is the slope. 

slope of g(x) = 1/2 or 0.5

Since lance gains 1 level every time he plays, 

slope = 1/1 = 1 so, slope of h(x) = 1

the function with the largest slope would be f(x) = 1.5