The correct statements regarding the exponential function
- The function is positive on its entire domain.
- The domain is x ≥ 0 to represent the number of years after the bedroom furniture was purchased.
- The y-intercept (0, 1000) represents the initial cost of the bedroom furniture.
<h3>What is an exponential function?</h3>
An exponential function is modeled by:
In which:
For this problem, we have that when x = 0, y = 1000, hence the y-intercept is of (0,a) = (0,1000), and:
When x = 2, y = 722.5, hence we use it to find b, as follows:
1000b² = 722.5
b² = 0.7225
b = sqrt(0.7225)
b = 0.85.
Hence the equation is:
The <u>asymptote is at y = 0</u>, hence the function is positive in the entire domain, and the and the domain is x ≥ 0 to represent the number of years after the bedroom furniture was purchased, as in these problems time is non-negative.
More can be learned about exponential functions at brainly.com/question/25537936
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Answer:
Step-by-step explanation:
translated 8 units to the right and 2 units up then flipped
You can only add x terms together only if they have the same exponent. For example you can add 2x^2 and x^2 but you cannot add x^2 and x^3.
In this particular problem, you can add 4x^4 and x^4, and x and 8x. So,
<span>
(x + 4x^4) + (x^4 - 2 + 8x)
</span>= 5x^4 + 9x -2
Answer:
I can't see three but I'll answer the first two.
Step-by-step explanation:
Number one: The first, third, and fifth options are correct,
Number two: A is correct because if you divide 3/4 you get 0.75. Check by multiplying 0.75 for one by 4 and you get three dollars.
So for three, one pound of pears costs two dollars. That is consistent with the graphs. Pick the answer that states that the best.
Answer:
C. y = -1/2x + 32
Step-by-step explanation:
I just took the test :)