Question

Please help me out.............

Answer 1

G(x) is growing faster.

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.

Answer 2

g(x)

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 =
`(-7+10)/(2-1)` = 3

Thus slope of g(x) > slope of f(x)

Hence g(x) is growing faster