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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150x100= 15,000 square meters
150x2= 300
100 + 300 = 400 meters of fencing
Hi there!
On the unit circle, the angle at which the x-value = √2/2 and the y-value = √2/2 is at 45°.
tan 45° = (√2/2)/(√2/2) = 1.
Answer:
slope of x=1
Step-by-step explanation:
40 miles per hour. if you take 60 divided by 1.5(the speed over time) you get 40mph