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
#learnwithBrainly
Answer:
Step-by-step explanation:
Problem One (left panel)
<em><u>Question A</u></em>
- The y intercept happens when x = 0
- That being said, the y intercept is 50. It was moving when the timing began.
<em><u>Question B</u></em>
The rate of change = (56 - 52)/(3 - 1) = 4/2 = 2 miles / hour^2 (you have a slight acceleration.
<em><u>Question C</u></em>
- 60 = a + (n-1)d
- 60 = 50 + (n - 1)*2
- 10/2 = (n - 1)*2/2
- 5 = n - 1
- 6 = n
The way I have done it the domain is n from 1 to 6
Question 2 (Right Panel)
<em><u>Question A</u></em>
The equation for the table is f(x) = 3x - 3 which was derived simply by putting all three points into y = ax + b and solving.
- f(0) = ax + b
- -3 = a*0) + b
- b = - 3
- So far what you have is
- f(x) = ax - 3
- f(-1) = a*(-1) - 3 but we know (f(-1)) = -6
- - 6 = a(-1) - 3 add 3 to both sides
- -6 +3 = a(-1) -3 + 3
- -3 = a*(-1) Divide by - 1
- a = 3
- f(x) = 3x - 3 Answer for f(x)
- The slope of f(x) = the coefficient in front of the x
- f(x) has a slope of 3
- g(x) has a slope of 4
<em><u>Part B</u></em>
- f(x) has a y intercept of - 3
- g(x) has a y intercept of -5
- f(x) has the greater y intercept.
- -3 > - 5
Answer:
x + 3 = 0.
Step-by-step explanation:
One would be:
x + 3 = 0 Subtract 3 from both sides:
x + 3 - 3 = 0 - 3
x = -3
We just need to <u>plug in 7 for B! </u>
Let's do it !
2 + (10 - 7)
<em>We always start with the parenthesis first ! It's just a rule in math :) </em>
10 - 7 = ?
10 - 7 = 3
Now we have ...
2 + 3
2 + 3 = 5
Your final answer is 5!
I hope I helped :) Just comment if you have any questions and remember to vote me "brainliest" if you like my answer !!!
Answer: the answer is -2 1/3
Step-by-step explanation: it would be -2 1/3 because 5 + 2=7 and then add the 1/3 to make -7 1/3
