If f(x) = 0.5x and g(x) = 0.25x. Which statement is true?
1 answer:
I FOUND YOUR COMPLETE QUESTION IN OTHER SOURCES.
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First, we rewrite both functions correctly:
f (x) = 0.5 ^ x
g (x) = 0.25 ^ x
We observe that they are exponential functions, where, rewriting:
f (x) = (1/2) ^ x
g (x) = (1/4) ^ x
We observe that both graphs present an exponential decay where, f (x)> g(x), since, the rate of change of f (x) (1/2) is greater than the rate of change of g (x) ( 1/4).
Answer:
as -> infinity, f (x)> g (x) *
PLEASE SEE ATTACHED IMAGE.
First, we rewrite both functions correctly:
f (x) = 0.5 ^ x
g (x) = 0.25 ^ x
We observe that they are exponential functions, where, rewriting:
f (x) = (1/2) ^ x
g (x) = (1/4) ^ x
We observe that both graphs present an exponential decay where, f (x)> g(x), since, the rate of change of f (x) (1/2) is greater than the rate of change of g (x) ( 1/4).
Answer:
as -> infinity, f (x)> g (x) *
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Answer:
Step-by-step explanation:
A exponential function is represented by
where a is the vertical stretch and b is the base and x is the nth
power of x
Since the first number corresponds with zero, that means our y intercept is the first number.
This means when x=0 , y=5 so let find the value of 5.
b to the 0th power equal 1 so
Our equation is for now
Now let plug in 1,30
Divide 5 by both sides
Anything to the 1st power is itself so b equal 6.
So our equation is