Question

Below are two different functions, f(x) and g(x). What can be determined about their slopes? f(x) = 2x + 3 The function g of x going through 1 on the x axis and 1, 4

Answer 1

Because g(x) passes from 1,0 to 1,4, we can say that it has a slope of 0. f(x) has a slope of 2. 

Answer 2

Answer:

The slope of the function f(x) is 2 and the slope of g(x) is ∞. The slope of g(x) is greater than slope of f(x).

Step-by-step explanation:

The given function is

$f(x)=2x+3$                  .... (1)

The slope intercept form of a line is

$y=mx+b$                  .... (2)

Where, m is slope and b is y-intercept.

From (1) and (2), we get

$m=2,b=3$

It means slope of the function f(x) is 2 and y-intercept is 3.

The function g(x) going through 1 on the x axis and (1, 4). It means it passes through the point (1,0) and (1,4).

The slope of g(x) is

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{4-0}{1-1}$

$m=\infty$

The slope of g(x) is ∞.

Therefore the slope of g(x) is greater than slope of f(x).