Step-by-step explanation:
End behavior of a polynomial function is the behavior of the graph of f(x) as x tends towards infinity in the positive or negative sense.
Given function:
f(x) = 2x⁶ - 2x² - 5
To find the end behavior of a function:
- Find the degree of the function. it is the highest power of the variable.
Here the highest power is 6
- Find the value of the leading coefficient. It is the number before the variable with the highest power.
Here it is +2
We observe that the degree of the function is even
Also the leading coefficient is positive.
For even degree and positive leading coefficient, the end behavior of a graph is:
x → ∞ , f(x) = +∞
x → -∞ , f(x) = +∞
The graph is similar to the attached image
Learn more:
End behavior brainly.com/question/3097531
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Answer:
slope: -(9/8)
y-intercept: 7
equation: y = -(9/8)x + 7
Step-by-step explanation:
Solve for the slope.
<em>m</em> (slope) = (y₂ - y₁)/(x₂ - x₁)
Let:
(x₁ , y₁) = (8 , -2)
(x₂ , y₂) = (0 , 7)
Plug in the corresponding numbers to the corresponding variables:
<em>m </em>= (7 - (-2))/(0 - 8)
<em>m</em> = (7 + 2)/(0 - 8)
<em>m</em> = 9/-8
Your slope is -(9/8)
Solve for the y-intercept. Plug in your slope into the slope intercept form:
y = mx + b
Let:
(x , y) = (0 , 7) & m = -(9/8)
Plug in the corresponding numbers to the corresponding variables:
7 = -(9/8)(0) + b
Simplify:
7 = (-9/8 * 0) + b
7 = (0) + b
b = 7
Your y-intercept is 7.
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Answer:
24
Step-by-step explanation:
9+6(2+3/6)
9+6(2+1/2)
2+1/2 = 2.5
9+6(2.5)
9+15
24
Answer: x=-6
Step-by-step explanation:
5-2x=-4x-7
5+2x=-7
2x=-12
X=-6