Question

The table represents the linear function f(X) and the equation represents a linear function g(x).

Answer 1

Answer:

The Answer is: A. the slope of f(x) is less than the slope of g(x). the Y intercept of f(x) is equal to the Y intercepts of g(x).

Step-by-step explanation:

Given points for f(x): (0, 1), (2, 4), (4, 7)

Given equation for g(x): g(x) = 2x + 1

Slope for g(x): m = 2

Calculate points for g(x):

g(0) = 1, giving (0, 1)

g(1) = 3, giving (1, 3)

g(2) = 5, giving (2, 5)

g(4) = 9, giving (4, 9)

Calculate the slope for f(x):

m = (y - y1) / (x - x1)

m = 1 - 4 / 0 - 2

m = -3/-2 = 3/2

The slope m = 3/2 of f(x) is is less than the slope m = 2 of g(x). The y intercept for each equation is 1 because g(0) = f(0) = 1 .

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