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

compare the Y intercepts and slopes of the linear function f(x) and g(x) and choose the answer that best describes them

x f(x)
0 1
2 4
4 7

g(x) = 2x + 1

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).

B. the slope of f(x) is greater than the flip of G(x). the Y intercept of f(x) is equal to the Y intercept of g(x).

C. the slope of f(x) is less than the slope of g(x). the Y intercept of f(x) is greater than the y intercept of g(x).

D. the slope of f(x) is greater than the slope of g(x). the Y intercept of f(x) given the Y intercept of g(x)

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kevinbentch kevinbentch · Answer 1 · 2019-11-16T05:45:11+01:00

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 .

Hope this helps!! Have an Awesome day!!! :-)