Consider f(x) = bWhich statement(s) are true for 0 < b < 1? Check all that apply.
1 answer:
Answer:
The domain is all real numbers.
The function is always decreasing
Step-by-step explanation:
Assuming the given function is
for
Then f(x) is an exponential decay function.
This means that, the domain will be all real numbers.
The range will be y<0
The y-intercept is (0,-1)
There is no x-intercept.
The graph is a decreasing function.
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Answer: Ana will hit the water after 3 seconds.
Step-by-step explanation:
The exercise gives you the following function which models Anna's height above the water (in meters) after diving "x" seconds:
You can rewrite the function with :
In order to calculate the number of seconds Ana will hit the water after diving, the procedure is:
- Substitute into the function:
- Solve for "x".
By the Zero Product Property, you know that if , then
or
.
Then you get:
- Choose the positive value ()
Then, Ana will hit the water after 3 seconds.