Answer:
Both functions are increasing on all intervals of x: True
Both functions have the same y intercept: True
Both functions approach the same value as x approaches infinity: True
Both functions approach negative infinity as x approaches negative infinity: True.
The functions have the same x intercept: False, they have no x intercept.
Step-by-step explanation:
f(x) is stated to be an exponetial function, hence
[tex]f(x)=ab^{x}[/tex]
f(0) is given as -12, so
-12=a
f(1) is given as -4, so
-4=-12b
b=1/3
This implies that
[tex]f(x)=-12(\frac{1}{3})^{x}[/tex]
g(x) is stated to be
[tex]g(x)=-12(\frac{1}{3})^{x}[/tex]
Conclusion: the functions are identical.
Answer:
so the answers are
the functions have the same y-intercept
both functions approach negative infinity as x approaches infinity
both functions are increasing on all intervals of x
