So it's multiple choice?
whichever looks most like this is the answer:
30mn+6n-36m
15. Proportional, because each ounce is $0.12.
32, 40.
Answer:
? + ?=8
Step-by-step explanation:
do eight divided by two
<u>Corrected Question</u>
Is the function given by:
continuous at x=4? Why or why not? Choose the correct answer below.
Answer:
(D) Yes, f(x) is continuous at x = 4 because ![Lim_{x \to 4}f(x)=f(4)](https://tex.z-dn.net/?f=Lim_%7Bx%20%5Cto%204%7Df%28x%29%3Df%284%29)
Step-by-step explanation:
Given the function:
![f(x)=\left\{\begin{array}{ccc}\frac{1}{4}x+1 &x\leq 4\\4x-11&x>4\end{array}\right](https://tex.z-dn.net/?f=f%28x%29%3D%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bccc%7D%5Cfrac%7B1%7D%7B4%7Dx%2B1%20%26x%5Cleq%204%5C%5C4x-11%26x%3E4%5Cend%7Barray%7D%5Cright)
A function to be continuous at some value c in its domain if the following condition holds:
- f(c) exists and is defined.
exists.
At x=4
Therefore: ![Lim_{x \to 4}f(x)=f(4)=2](https://tex.z-dn.net/?f=Lim_%7Bx%20%5Cto%204%7Df%28x%29%3Df%284%29%3D2)
By the above, the function satisfies the condition for continuity.
The correct option is D.