Question

The table below represents a linear function f(x) and the equation represents a function g(x):

x f(x)
−1 −11
0 -1
1 9
g(x) = 5x +1
Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).

Answer 1

To compare the slopes of two functions, we need to determine the slopes of both functions. The slope of f(x) is 10 and the slope of g(x) is 5. Therefore, the slope of f(x) is greater than the slope of g(x).

Step-by-step explanation:

The slope of a linear function is a measure of how steep the line is. To compare the slope of the two functions, we need to determine the slope of both f(x) and g(x).

For function f(x), we can use the values from the table. The change in y is 9 - (-11) = 20, and the change in x is 1 - (-1) = 2. So the slope of f(x) is 20/2 = 10.

For function g(x), we can see that the coefficient of x is 5. So the slope of g(x) is 5.

Therefore, the slope of f(x) is 10 and the slope of g(x) is 5. The slope of f(x) is greater than the slope of g(x).