Answer:
a) f(x) = x^2
b) f(x) = x
c) any pair of numbers
Step-by-step explanation:
HI!
a)
an example of this kind of function is f(x) = x^2 because
f(x+h) = (x+h)^2 = x^2 + h^2 + 2 xh = f(x) + f(h) + 2xh
teherfore
f(x+h) ≠ f(x) + f(h)
other example is f(x) = x^n with n a whole number different than one
e.g.
f(x)=x^3
f(x+h) = (x+h)^3 = x^3 + h^3 + 3(x^2 h + x h^2) ≠ x^3 + h^3 = f(x) + f(h)
b)
f(x) = x is a function that actually behaves as indicated
f(x+h) = x + h = f(x) + f(h)
others examples of this kind of fucntion are given by multiplying x by any number:
f(x) = ax; f(x+h) = a(x+h) = ax + ah = f(x) + f(h)
c)
Any pair of numbers will make f(x+h) = f(x) + f(h), as mentioned in the previous section
lest consider 10 and 5
f(10+5) = 2 *(10+5) = 2*15 = 30
f(10) = 2*10 = 20
f(5) = 2*5 = 10
f(10) + f(5) = 20+10 = 30 = f(10+5)
Answer:
A
Step-by-step explanation:
A is the only one that intersects with the y axis at the value 3.
hope this helps :)
Step-by-step explanation:
Surface area of cubic cell
![= 6(side)^{2} \\ = 6 \times {4}^{2} \\ = 6 \times 16 \\ = 96 \: {mm}^{2} \\ \\ volume \: of \:cubic \: cell \\ = {(side)}^{3} \\ = {4}^{3} \\ = 64 \: {mm}^{3} \\](https://tex.z-dn.net/?f=%20%3D%206%28side%29%5E%7B2%7D%20%20%5C%5C%20%20%3D%206%20%5Ctimes%20%20%7B4%7D%5E%7B2%7D%20%20%5C%5C%20%20%3D%206%20%5Ctimes%2016%20%5C%5C%20%20%3D%2096%20%5C%3A%20%20%7Bmm%7D%5E%7B2%7D%20%20%5C%5C%20%20%5C%5C%20volume%20%5C%3A%20of%20%5C%3Acubic%20%5C%3A%20cell%20%20%5C%5C%20%3D%20%20%7B%28side%29%7D%5E%7B3%7D%20%20%5C%5C%20%20%3D%20%20%7B4%7D%5E%7B3%7D%20%20%5C%5C%20%20%3D%2064%20%5C%3A%20%20%7Bmm%7D%5E%7B3%7D%20%5C%5C%3C%2Fp%3E%3Cp%3E)
Ratio of surface area to volume of imaginary cubic cell
![= \frac{96}{64}\\ = \frac{3}{2}\\=3 : 2](https://tex.z-dn.net/?f=%20%3D%20%5Cfrac%7B96%7D%7B64%7D%5C%5C%3C%2Fp%3E%3Cp%3E%20%3D%20%5Cfrac%7B3%7D%7B2%7D%5C%5C%3C%2Fp%3E%3Cp%3E%3D3%20%3A%202)
I looked it up on google and got 2.6 I have no clue if it’s right sorry if you get it wrong