Which of the following could be an example of a function with a domain
2 answers:
Answer:
B. y= - (0.25)^x+ 4
C. y= - (3)^x+4
Step-by-step explanation:
There is no impediment in an exponential function, so all of the have the domain (-infinity, infinity).
In an exponential function in the following format:
The range is (-infinity, b).
So these following functions apply:
B. y= - (0.25)^x+ 4
C. y= - (3)^x+4
A and D have ranges from negative infinity to negative four.
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Answer:
Approximately 3 grams left.
Step-by-step explanation:
We will utilize the standard form of an exponential function, given by:
In the case of half-life, our rate <em>r</em> will be 1/2. This is because 1/2 or 50% will be left after <em>t </em>half-lives.
Our initial amount <em>a </em>is 185 grams.
So, by substitution, we have:
Where <em>f(t)</em> denotes the amount of grams left after <em>t</em> half-lives.
We want to find the amount left after 6 half-lives. Therefore, <em>t </em>= 6. Then using our function, we acquire:
Evaluate:
So, after six half-lives, there will be approximately 3 grams left.
Find the inverse, interchange the variables to solve for y
f-1 (x)=-![\frac{8- \sqrt[]{_2(-8+x)} }{2} ,](https://tex.z-dn.net/?f=%20%5Cfrac%7B8-%20%5Csqrt%5B%5D%7B_2%28-8%2Bx%29%7D%20%7D%7B2%7D%20%2C)
f-1 (x)=-