- <em>The graph of f is a polynomial function</em>
- <em>There are two turning points, namely, x = 0 and x = -2</em>
<h2>
Explanation:</h2>
A polynomial function in one variable is given by the form:
![f(x)=a_{n}x^n+a_{n-1}x^{n-1}+\cdots +a_{2}x^2+a_{1}x+a_{0}](https://tex.z-dn.net/?f=f%28x%29%3Da_%7Bn%7Dx%5En%2Ba_%7Bn-1%7Dx%5E%7Bn-1%7D%2B%5Ccdots%20%2Ba_%7B2%7Dx%5E2%2Ba_%7B1%7Dx%2Ba_%7B0%7D)
Since you haven't provided any expression, I'll choose the following function:
![f(x)=x^{3}+3x^{2}+3](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E%7B3%7D%2B3x%5E%7B2%7D%2B3)
So this is indeed a polynomial function. A turning point is an x-value where we have either a local maximum or local minimum. So we need to take the derivative of this functions:
![f'(x)=3x^2+6x \\ \\ Finding \ turning \ points: \\ \\ 3x^2+6x=0 \\ \\ x(3x+6)=0 \\ \\ \\ So: \\ \\ x=0 \\ \\ and \\ \\ \ 3x+6=0 \therefore \ \boxed{x=-2}](https://tex.z-dn.net/?f=f%27%28x%29%3D3x%5E2%2B6x%20%5C%5C%20%5C%5C%20Finding%20%5C%20turning%20%5C%20points%3A%20%5C%5C%20%5C%5C%203x%5E2%2B6x%3D0%20%5C%5C%20%5C%5C%20x%283x%2B6%29%3D0%20%5C%5C%20%5C%5C%20%5C%5C%20So%3A%20%5C%5C%20%5C%5C%20x%3D0%20%5C%5C%20%5C%5C%20%20and%20%5C%5C%20%5C%5C%20%5C%203x%2B6%3D0%20%5Ctherefore%20%5C%20%5Cboxed%7Bx%3D-2%7D)
Conclusion:
- <em>The graph of f is a polynomial function</em>
- <em>There are two turning points, namely, x = 0 and x = -2</em>
<em />
<h2>
Learn more:</h2>
Polynomial function: brainly.com/question/13729121
#LearnWithBrainly
Answer:
A=49ft
Step-by-step explanation:
The area of this square is 49ft.
Hope it helps ☺
You cannot divide by 0
so solve
y(z+5)=0
y=0 and z+5=0
y=0 and z=-5
excluded values are y=0 and z=-5
M=-4
The number with x is always going to be the slope
Y-intecept=9
Answer:
2.4 kilograms
Step-by-step explanation:
Given: 5 people are evenly sharing 12 kilograms of apples
To find: quantity of apples that each person should get
Solution:
Use the unitary method to get the required answer.
Under unitary method, if the value of multiple items is given to us, divide the total value by the number of items to obtain the value of one item.
Quantity of apples for 5 people = 12 kilograms
Quantity of apples for 1 person =
kilograms
So, each person should get 2.4 kilograms of apples.