First, for end behavior, the highest power of x is x^3 and it is positive. So towards infinity, the graph will be positive, and towards negative infinity the graph will be negative (because this is a cubic graph)
To find the zeros, you set the equation equal to 0 and solve for x
x^3+2x^2-8x=0
x(x^2+2x-8)=0
x(x+4)(x-2)=0
x=0 x=-4 x=2
So the zeros are at 0, -4, and 2. Therefore, you can plot the points (0,0), (-4,0) and (2,0)
And we can plug values into the original that are between each of the zeros to see which intervals are positive or negative.
Plugging in a -5 gets us -35
-1 gets us 9
1 gets us -5
3 gets us 21
So now you know end behavior, zeroes, and signs of intervals
Hope this helps<span />
A 12-sided die is rolled. The set of equally likely outcomes is {1,2,3,4,5,6,7,8,9,10,11,12). Find the probability of rolling a
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Answer:
Step-by-step explanation:
Given
--- outcomes
-- sample size
Required
This is calculated as:
because none of the outcomes is greater than 12:
So:
Answer:
The picture is black
Step-by-step explanation:
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The only values a cosine can have are from -1 to 1.
Answer:
y=1, x=1
Step-by-step explanation:
This is a 90-45-45 triangle. One side is a sq root 2, and the other sides are a and a.
For example, if one side was 3 sq root two, then the other sides would be 3 and 3
