Respuesta :
The functions f(x) and g(x) are different functions
The function f(x) is a cubic function, while the function g(x) is a logarithmic function.
The common feature in both functions is their range
According to the statement
we have given that the some functions and we have to justify these functions.
The functions are given as:
f(x) = x³ + x² - 2x + 3 and g(x) = log(x) + 2
This means that the function f(x) is a cubic function, while the function g(x) is a logarithmic function.
The common key features of the functions
To do this, we plot the graphs of both functions
From the attached graph, we have the following features:
Function f(x)
Domain: -∞ < x < ∞
Range: -∞ < y < ∞
y - intercept = 3
x - intercepts = -2.37
Function g(x)
Domain: x > 0
Range: -∞ < y < ∞
y - intercept = None
x - intercepts = 0.01
By comparing the key features above, we can conclude that the common features in both functions is their range.
The functions f(x) and g(x) are different functions
The function f(x) is a cubic function, while the function g(x) is a logarithmic function.
The common feature in both functions is their range
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