How many minutes are there in three quarters of an hour explain your answer
1 answer:
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This is an example of a piecewise defined function. It means that the function has not a unique formula to represent it, but it depends on "where" you want to compute it.
So, if you choose any input , you have two alternative:
- If
(i.e., if you've chosen any input that is not 3), the output will be the opposite of the input you've chosen (
)
- If
, the ouput will be -1.
So, let's forget about for a moment. For any input
you choose, the answer is
. The graph of this function is the bisector of the second and fourth quadrant.
Now remember that there is our special case: you have to "carve a hole" in our line, at , and assing to this point the value -1, instead of what we would expect, i.e. -3.
So, the graph of this function is the line , except for one point (
), where we reassign the value to be -1.
Answer:
B) 25
Step-by-step explanation:
Given exponential function:
The growth factor between and
is 25.
To find the growth factor between and
Solution:
The growth factor of an exponential function in the interval and
is given by :
We can check this by plugging in the given points.
The growth factor between and
would be calculated as:
Plugging in values.
(On canceling the common terms)
(Using quotient property of exponents
)
∴
Similarly the growth factor between and
would be:
Plugging in values.
(On canceling the common terms)
(Using quotient property of exponents
)
∴
Thus, the growth factor remains the same which is =25.