Answer:
The turns of a graph is represented by the number of maximum or minimum that the function has.
If we differenciate f(x) we get:
f'(x)=4x^3+6x
f'(x)=2x(2x^2 + 3)
Therefore f'(x) =0, when x=0. Given that negative roots are not defined.
Therefore, the number of turns will be given by the number of solutions of f'(x) which is 1.
Attached you find the graph of the function which confirms the number of turns.
If the function had other solutions, the maximum number of turns it could have is 3! because f'(x) is a third degree polynomial, therefore it can't have more than 3 solutions!
Answer:
Option C. Yes; y=2x
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form 
or 
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
so
In this problem
For x=0, y=0
That means ----> the line passes through the origin
<em>Find the value of k</em>
For x=2, y=4
----> 
For x=4, y=8
----> 
The values of k are equal
therefore
The table represent a direct variation
The equation is equal to
<h2>
Answer:</h2>
<h3>Radius:</h3>
radius is always half the length of its diameter. For example, if the diameter is 4 cm, the radius equals 4 cm ÷ 2 = 2 cm.
<h3>Diameter:</h3>
2 times the radius is the circle's diameter.
<h3>Circumference:</h3>
The formula is simply this: C = πd. In this equation, "C" represents the circumference of the circle, and "d" represents its diameter. That is to say, you can find the circumference of a circle just by multiplying the diameter by pi.the formula for circumference of a circle is 2 x pi x r(radius).
Answer:
Inequality: x > -2
Interval Notation: ( -2, ∞)
Step-by-step explanation:
