Respuesta :

Answer:

The y-intercepts are the same and the slope of f(x) is greater than g(x)

Step-by-step explanation:

1) Make an equation for f(x)

   y- intercept = 1 ( 0 , 1 )

   Slope: 4x

 [tex]\frac{y_{2} - y_{2}}{x_{2} - x_{1}}[/tex]

[tex]\frac{9 - 1}{2 - 0}[/tex] = [tex]\frac{8}{2}[/tex] = 4

Equation: f(x) = 4x + 1

2) Comparing the y-intercepts

  y = mx + b

  g(x) = 3x + 1

  f(x) = 4x + 1

3) Comparing slopes

    g(x) = 3x + 1

    f(x) = 4x + 1