Answer:
![y=x^2+5x+20\\ \\ y=8x^2+35](https://tex.z-dn.net/?f=y%3Dx%5E2%2B5x%2B20%5C%5C%20%5C%5C%20y%3D8x%5E2%2B35)
Explanation:
The <em>end behavior</em> of a <em>rational function</em> is the limit of the function as x approaches negative infinity and infinity.
Note that the the values of even functions are the same for ± x. That implies that their limits for ± ∞ are equal.
The limits of the quadratic function of general form
as x approaches negative infinity or infinity, when
is positive, are infinity.
That is because as the absolute value of x gets bigger y becomes bigger too.
In mathematical symbols, that is:
![\lim_{x \to -\infty}3x^2=\infty\\ \\ \lim_{x \to \infty}3x^2=\infty](https://tex.z-dn.net/?f=%5Clim_%7Bx%20%5Cto%20-%5Cinfty%7D3x%5E2%3D%5Cinfty%5C%5C%20%5C%5C%20%5Clim_%7Bx%20%5Cto%20%5Cinfty%7D3x%5E2%3D%5Cinfty)
Hence, the graphs of any quadratic function with positive coefficient of the quadratic term will have the same end behavior as the graph of y = 3x².
Two examples are:
![y=x^2+5x+20\\ \\ y=8x^2+35](https://tex.z-dn.net/?f=y%3Dx%5E2%2B5x%2B20%5C%5C%20%5C%5C%20y%3D8x%5E2%2B35)
Answer:
0 ≤y ≤ 60
Step-by-step explanation:
The range is values the y can take
y goes from 0 to 60
10 ≤y ≤ 60
Answer:
Step-by-step explanation:
Lin after 1 year has 300+2*300/100=300+6=306 $
after 2 years has 306+2*306/100=306+6.12=312.12$
150-15*150/100=150-22.5=127.5 $ the price for the bicycle