Answer:
g(x)
Step-by-step explanation:
The measure of how fast a linear function is changing is the slope
f(x) = 2x + 1 ← is in slope- intercept form
with slope m = 2
Calculate the slope of g(x) using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (1, - 10) and (x₂, y₂ ) = (2, - 7) ← 2 ordered pairs from the table
m = [tex]\frac{-7+10}{2-1}[/tex] = 3
Thus slope of g(x) > slope of f(x)
Hence g(x) is growing faster
Answer:
G(x) is growing faster.
Step-by-step explanation:
The growth is given by the slope of the line given by the equation or the table.
For f(x) the slope = 2 ( because it contains 2x).
For g(x) we find the slope by dividing the differences of g(x) by the differences of x. So:
The slope of g(x) = -7 - (-10) / 2-1
= 3/1.
Also (-4 - -7) / 3-2 = 3/1.
The slope is 3.
