The function f(x) is a polynomial, while the function g(x) is a logarithmic function and the functions have the same range
<h3>The type of functions</h3>
The functions are given as:
f(x) = x³ + x² - 2x + 3
g(x) = log(x) + 2
The function f(x) is a polynomial, while the function g(x) is a logarithmic function.
<h3>The key features</h3>
For the polynomial function, we have:
- Domain: -∞ < x < ∞
- Range: -∞ < x < ∞
- y-intercept = 3
For the logarithmic function, we have:
- Domain: x > 0
- Range: -∞ < x < ∞
- y-intercept = undefined
By comparison, the functions have the same range
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