Respuesta :
Using linear function concepts, it is found that:
a) Function f(x) has a greater slope, that is, a greater rate of change, hence it increases faster than function g(x).
b) Due to the higher numeric value when x = 0, function g(x) has a greater y-intercept.
What is a linear function?
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
For function f(x), we have that:
- When x changes by 1, y increases by 6, hence the slope is of 6.
- When x = 0, y = -6, hence the y-intercept is of -6.
Function g(x) is defined by:
g(x) = 2x + 6.
Hence:
- The slope is of 2.
- The y-intercept is of 6.
Then:
a) Function f(x) has a greater slope, that is, a greater rate of change, hence it increases faster than function g(x).
b) Due to the higher numeric value when x = 0, function g(x) has a greater y-intercept.
More can be learned about linear functions at https://brainly.com/question/24808124
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