When a function is graphed, the domain refers to the points along the x-axis that is covered by the graph. On the other hand, the range refers to the points along the y-axis that is covered by the graph. The inverse of the function can be determined when you substitute the negative value of x. The function and its inverse have the identical graphs.This is because of the term x^2. Whether x is negative or positive, it will yield the same positive the answer. The graph is shown in the picture.
The domain is from -∞ to +∞, while the range is from -2 to +∞.
Answer:
h = 6.5 feet
Step-by-step explanation:
The height of the frog as a function of time is given by :
.....(1)
We need to find the maximum height reached by the frog. We can find it as follows :
Put ![\dfrac{dh}{dt}=0](https://tex.z-dn.net/?f=%5Cdfrac%7Bdh%7D%7Bdt%7D%3D0)
So,
![\dfrac{d}{dt}(-0.5t^2 +3t+2)=0\\\\-t+3=0\\\\t=3](https://tex.z-dn.net/?f=%5Cdfrac%7Bd%7D%7Bdt%7D%28-0.5t%5E2%20%2B3t%2B2%29%3D0%5C%5C%5C%5C-t%2B3%3D0%5C%5C%5C%5Ct%3D3)
Put t = 3 in equation (1).
![h= -0.5(3)^2 +3(3)+2\\\\h=6.5\ feet](https://tex.z-dn.net/?f=h%3D%20-0.5%283%29%5E2%20%2B3%283%29%2B2%5C%5C%5C%5Ch%3D6.5%5C%20feet)
So, the maximum height is 6.5 feet.
Answer:
Step-by-step explanation:
2+1+5-3x4
Answer:
m = 4/3
Step-by-step explanation:
Answer:
8 3/10 cm
Step-by-step explanation:
Add Emile's 7th and 8th grade growth amounts together:
3 9/10 cm
4 4/10 cm (This is equivalent to 4 2/5 cm.)
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7 13/10 cm, or
8 3/10 cm