What is the end behavior of the graph of f(x) = -0.25x2 – 2x + 1?
Answers
End behavior means what are the y-values doing as the x-values both increase and decrease without bound.
This is a parabola (degree 2) with a negative leading coefficient (−0.25). Therefore both ends of the graph will be going towards negative infinity.
As x increases, f(x) decreases.
As x decreases, f(x) decreases.
Since the highest degree of the given function, f(x) = -0.25x² – 2x + 1 the end behavior of the graph will be down.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that,
f(x) = -0.25x² – 2x + 1
A polynomial function's end behavior defines how the graph acts as x gets closer. The leading term of the function—that is, the term with the highest n-value for a × n, where n is a positive integer and an is any nonzero number—allows us to infer the function's final behavior.
The highest degree of the given function is 2. When the function is plotted on the graph we get the graph shows downward behavior when x gets closer.
Thus, since the highest degree of the given function, f(x) = -0.25x² – 2x + 1 the end behavior of the graph will be down.
Learn more about the function here:
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Related Questions
please help me i need help i'll help you if you help me !
i will mark you as brill
Answers
Answer:
See Explanation
Step-by-step explanation:
Required
Write three equivalent ratios
To solve these questions, we do the following:
Whatever is being applied to a part of the ratio must be done on the other part
Solving (9):
[tex]Ratio = \frac{2}{7}[/tex]
Multiply through by 2
[tex]Ratio = \frac{2*2}{7*2} = \frac{4}{14}[/tex]
Multiply through by 3
[tex]Ratio = \frac{2*3}{7*3} = \frac{6}{21}[/tex]
Multiply through by 5
[tex]Ratio = \frac{2*5}{7*5} = \frac{10}{35}[/tex]
Hence, the equivalents are: [tex]\frac{4}{14}, \frac{6}{21}, \frac{10}{35}[/tex]
Solving (10):
Ratio = 1.5 to 3.5
Multiply by 2
[tex]Ratio = 1.5 * 2\ to\ 3.5 * 2[/tex]
[tex]Ratio = 3\ to\ 7[/tex]
Multiply by 3
[tex]Ratio = 1.5 * 3\ to\ 3.5 * 3[/tex]
[tex]Ratio = 4.5\ to\ 10.5[/tex]
Multiply by 4
[tex]Ratio = 1.5 * 4\ to\ 3.5 * 4[/tex]
[tex]Ratio = 6\ to\ 14[/tex]
Hence, the equivalents are: 3 to 7, 4.5 to 10.5 and 6 to 14
Solving (11):
Ratio = 6.25 to 1.25
Divide by 5
[tex]Ratio = 6.25/5\ to\ 1.25/5[/tex]
[tex]Ratio = 1.25\ to\ 0.25[/tex]
Multiply by 2
[tex]Ratio = 6.25*2\ to\ 1.25*2[/tex]
[tex]Ratio = 12.5\ to\ 2.5[/tex]
Multiply by 4
[tex]Ratio = 6.25*4\ to\ 1.25*4[/tex]
[tex]Ratio = 25\ to\ 5[/tex]
Hence, the equivalents are: 1.25 to 0.25, 12.5 to 2.5 and 25 to 5
Solving (12):
[tex]Ratio = 3 : 3\frac{1}{2}[/tex]
Multiply by 2
[tex]Ratio = 3 *2: 3\frac{1}{2}*2[/tex]
[tex]Ratio = 6: 7[/tex]
Multiply by 4
[tex]Ratio = 3 *4: 3\frac{1}{2}*4[/tex]
[tex]Ratio = 12: 14[/tex]
Multiply by 6
[tex]Ratio = 3 *6: 3\frac{1}{2}*6[/tex]
[tex]Ratio = 18: 21[/tex]
Hence, the equivalents are: 6:7, 12:14 and 18:21
Solving (13)
[tex]Ratio = 1\frac{2}{3} : \frac{5}{4}[/tex]
Convert mixed fraction to improper fraction
[tex]Ratio = \frac{5}{3} : \frac{5}{4}[/tex]
Multiply by 2
[tex]Ratio = \frac{5}{3}*2 : \frac{5}{4}*2[/tex]
[tex]Ratio = \frac{10}{3} : \frac{5}{2}[/tex]
Multiply by 3
[tex]Ratio = \frac{5}{3}*3 : \frac{5}{4}*3[/tex]
[tex]Ratio = 5 : \frac{15}{4}[/tex]
Multiply by 12
[tex]Ratio = \frac{5}{3}*12 : \frac{5}{4}*12[/tex]
[tex]Ratio = 20 : 15[/tex]
Hence, the equivalents are: 10/3:5/2, 5 : 15/4, and 20:15
4 2/3 = 5-1/3
help please
Answers
I ran it through a calculator and the answer it gave was "Yes"
Step-by-step explanation:
j - 2.5 = 93.9
What is the value of j?
Answers
Answer:
j = 96.4
Step-by-step explanation:
Step-by-step explanation:
j - 2.5 = 93.9
j=93.9+2.5
j=96.4
5x - 4y = -8 x + 4y F-16
Answers
A department store is having a clothing sale. If a $35.00 pair of pants has a discount tag of 20% off, what is the sale price?
Answers
Answer:
$28.00
Step-by-step explanation:
You start with 35.00.
Now 10% of this is 3.5.
Multiply by 2 because it's 20%.
You get 7, so 7 is 20% of 35.00.
35.00 minus 7 is 28.00.
The pair of pants will be 28.00 dollars!
Gretchen rode her snowmobile 1 1/4 miles to a snowmobile trail. She rode on the trail for 5 5/6 miles and then rode back home. Which addition sentence shows how many miles Gretchen rode in all?
Answers
Answer:
5 5/6+1 1/4+1 1/4, or 8 1/3 miles
Answer: it’s 5 5/6+1 1/4+1 1/4, or 8 1/3 miles
Step-by-step explanation:
Write 6 wholes and 2 tenths as a decimal.
Answers
Answer: 6.2
Step-by-step explanation:
A whole number is behind the decimal point.
The tenth is right in front of the decimal point.
In the 2006 season, Tom Brady threw for 3,529
yards. In the 2007 season, he threw for 2,806
yards. What is the percentage decrease
Answers
3529-2806=723
(723/35290)x100= 20.4873901955
First, work out the difference (decrease) between the two numbers you are comparing. Next, divide the decrease by the original number and multiply the answer by 100. If the answer is a negative number, this is a percentage increase.
Answer:
59.02%
Step-by-step explanation:
SO SORRY THAT THIS IS LATE anyway what you is minus the biggest number by the smallest number which would be 3,529 - 2,806 = 723
BECAUSE 3,529 is the original number you would do 723 / 3,529 = 0.5902521
then you would times that number by 100
0.5902521 x 100 = 59.02%
hope this helps
Giving brainliest 7th grade math HELPPP
Answers
Answer:
p(Green and Sedan) = 1/3
Step-by-step explanation:
Total number of outcomes = 6
[Green-Sedan, Green-Sedan, Green-Truck, Purple-Sedan, Purple-Sedan, Purple-Truck]
Possible outcomes = 2
Probability = possible outcomes / total number of outcomes = 2/6 = 1/3
HOPE THIS HELPS YOU
Answer:
5/6= the first one
827774 x 86567 x 87893087 x 878904 x 8907389 x 0 x 7890 x 7893 see if you can answer that nice job if u did
Answers
Answer:
hm
Step-by-step explanation:
A rectangle is made up of green and red tiles. the ratio of green tiles to red tiles is 3:4. Which of the following could be the number of green tiles in the rectangle?
Answers
Answer:
H) 24
Step-by-step explanation:
24 is the only number that is divisible by 3.
CHECK:
3 x 8 : 4 x 8
24:32✔
(You can try dividing '3' by the other numbers to also check your answer)
Hope this helped ^^
3(2ax-10)=24x+5b
work out the values of a and b
Answers
Answer:
a=4
b=-6
Step-by-step explanation:
3(2ax-10)=24x+5b
6ax - 30 = 24x + 5b
6a = 24
a = 4
5b = -30
b = -6
check: 3(2*4*x - 10) = 24x - 30 = 24x + 5 * (-6) = 24x - 30
Which of the following equations best represents the regression line for the data given in the table above?
Answers
Answer:
B. y=3x-2
Step-by-step explanation:
Regression line has positive slope value, it's rise from left to right.
y=3x-2 seems to be the most possible one
The points (-5, -31) and (3, r) lie on a line with slope 4. Find the missing coordinate r
I’LL MARK BRAINIEST!
To the first correct answer
Answers
Answer:
The missing coordinate is 1
Step-by-step explanation:
Expanded form of 6(y+x)
Answers
Answer:
6y + 6x
Step-by-step explanation:
the expanded form would be 6 multiplied to each item in the parenthesis
this gets you 6x + 6y
HELP ASAPP!!!!!!!!!!!!!!!!
Answers
Answer:
1st one
Step-by-step explanation:
[tex] \frac{1x}{8} + \frac{1x}{8} \\ \frac{2 x}{8} = \frac{1x}{4} [/tex]
pls help asap no trolls
Answers
Answer:
yes
Step-by-step explanation:
This is because the sum of 2 sides of a triangle has to be greater than the side that was not used
For the equation, decide if it is always true or never true.
x − 3 = 2x − 3 − x
Answers
Answer:
true
Step-by-step explanation:
Harry makes fruit punch with 3 cups of cranberry juice, 2 cups of mandarin orange juice, and 3 cups of watermelon juice. Approximately what percentage of the punch is cranberry juice?
Answers
Answer:
37.5%
Step-by-step explanation:
Level 3: A plumber charges $50 for a service call plus $75 per hour of service. What will be the total cost for 8 hours of work? *
$650
$600
$475
$400
Answers
Answer:
$650
Step-by-step explanation:
$50 + $75(8)
= $50+ $600
= $650
what is 3/12 divided by 7
Answers
0.25/7 is 0.035714
Step-by-step explanation:
the answer is 3/84 hope this helps but btw the answer isn't simplified so if u want simplified ask
Could y’all pls help out brainlest correct answer only
Answers
Answer:
The third option with the decimal on top as a fraction
Answer:
C
Step-by-step explanation:
Think of the proportional relationship as algebra.
k*number of MovieTickets = Cost, where k is the constant of proportionality.
To find k, you can substitute values in the table and solve for k.
In this example:
k*5 = $28.75
k = $28.75/5
This answer is C.
The ratio of the corresponding parts of these pentagons is 2:3. What is the value of x?
Answers
Answer:
I'm not entirely sure if this is correct.
Step-by-step explanation:
[tex] \frac{2}{3} = \frac{30}{x} \\ 2x = 3(30) \\ \frac{2x}{2} = \frac{90}{2} \\ x = 45[/tex]
Which of the following did you include in your answer? Yes, the graph has been dilated. Using the standard form of the equation, substitute in the values: h = –2, k = 3, x = –1, and y = 0. Solve the equation to get a = –3. Graphically, the parent function follows the pattern of right 1, up 1. Moving 1 unit to the right from the vertex, you can move down 3 units to get to the point (–1, 0), so it has been horizontally compressed.
Answers
Answer: just to press anyone it does not mark you for it lol
Step-by-step explanation:
I need answer asap (10 points)
Answers
Answer:
Same side exterior angles
Step-by-step explanation:
Angle 3 and Angle 6 are same side exterior angles.
Find the slope of the line that passes through each pair of points. (-3, 1 )and (-17, 2)
Answers
Answer:
1/-14 or 1 over - 14
Step-by-step explanation:
The equation you need is: y2-y1 over x2-x1
So if you plug it in it becomes 2-1 over -17 -(-3) so 2 - 1 is 1 that's the easy part, 17 - (-3) is the hard part because you can't minus a negative. So it becomes -17+3 which is still -14 because you take the sign of the bigger number. Sorry if it's hard to understand :(
I REALLY NEED HELP WITH 5 THROUGH 8
Answers
Answer:
Prime factors of 44: 2, 2, 11
44 = 2 × 2 × 11
= 22 × 11
Factor tree:
44
| \
22 2
| \
11 2
Step-by-step explanation: I just did the assignment.
what is 56+32 gcf and sum
Answers
Answer:
The GCF=8 The Sum=88
Please help ASAP!!!!!!!!!!!!!
Answers
Answer:good luck yo
Step-by-step explanation:2 times 5
I need help asap I’m confused
