Question

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

Answer 1

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

Answer 2

Here is your answer:

The answer is the first option "f(x)."

$m=(y^2 - y^1) \div (x^2 - x^1) = (-7 - -10) \div (-1 - -3) = 1.5\\ f(x) = 1.5\\g(x) = 1/2 x + 3\\g(x) = 0.5\\h(x) = 1$

Therefore the answer is the first option!

Hope this helps!