1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
bekas [8.4K]
3 years ago
5

Sketch the general shape of each function. Then state the end behavior of the function.

Mathematics
1 answer:
nikdorinn [45]3 years ago
3 0
Both the general shape of a polynomial and its end behavior are heavily influenced by the term with the largest exponent. The most complex behavior will be near the origin, as all terms impact this behavior, but as the graph extends farther into positive and/or negative infinity, the behavior is almost totally defined by the first term. When sketching the general shape of a function, the most accurate method (if you cannot use a calculator) is to solve for some representative points (find y at x= 0, 1, 2, 5, 10, 20). If you connect the points with a smooth curve, you can make projections about where the graph is headed at either end.
 End behavior is given by:
1. x^4. Terms with even exponents have endpoints at positive y ∞ for positive and negative x infinity. 
2. -2x^2. The negative sign simply reflects x^2 over the x-axis, so the end behavior extends to negative y ∞ for positive and negative x ∞. The scalar, 2, does not impact this.
3. -x^5. Terms with odd exponents have endpoints in opposite directions, i.e. positive y ∞ for positive x ∞ and negative y ∞ for negative x ∞. Because of the negative sign, this specific graph is flipped over the x-axis and results in flipped directions for endpoints.
4. -x^2. Again, this would originally have both endpoints at positive y ∞ for positive and negative x ∞, but because of the negative sign, it is flipped to point towards negative y ∞.
You might be interested in
What is 3x4^3/34<br> need ASAP!!
Anastasy [175]

Answer:

3x4^3/34

3×64/34=192/34=96/17 or 5.64

3 0
3 years ago
What is the answer to this and how do I do this problem?
DaniilM [7]

Answer:

  B) 25.1 units

Step-by-step explanation:

The perimeter is the sum of the lengths of the sides of the triangle. The length of the side BC that is vertical can be found by finding the difference of y-coordinates:

  BC = 5 -(-2) = 7

The lengths of the other two sides can be found using the given distance formula. Fill in the coordinate values and do the arithmetic.

  AB = √((4-(-4))^2 +(5-(-1))^2) = √(8^2 +6^2) = √(64+36)

  AB = √100 = 10

__

  AC = √((4-(-4))^2 +(-2-(-1))^2) = √(8^2 +(-1)^2) = √(64 +1)

  AC = √65 ≈ 8.06

__

So, the perimeter is ...

  P = AB +BC +AC

  P = 10 + 7 + 8.06 = 25.06 ≈ 25.1 . . . . matches choice B

5 0
3 years ago
A box of spaghetti weighs 1 pound. Lindsay
MrRissso [65]

Answer:

yes she'll be to make another meal

Step-by-step explanation:

1 pound = 16 oz

lindsay cooked nine ounces

16 - 9

8 0
3 years ago
70 POINTS SHOW HOW U DID IT FOR BRAINLIEST
eimsori [14]
Answer: is 11 x 11 x 11
7 0
2 years ago
Read 2 more answers
A six faced dice is rolled 6 times. Find the probability of getting at LEAST one 3.
sesenic [268]

Answer:

it's a 1/6 chance because it's a 6 faced dice

8 0
3 years ago
Other questions:
  • find the shadow cast by a 10 foot lamp post when the angle of elevation of the sun is 58 degrees. find the length to the nearest
    6·1 answer
  • Condensing Logarithmic Expression In Exercise,use the properties of logarithms to rewrite the expression as the logarithm of a s
    11·1 answer
  • Please help, doing age word problems. Tysm if you do, really appreciated :D
    6·2 answers
  • Steve has 50 notebooks with red covers but only 40 notebooks with blue covers. If he uses up 6 notebooks with red covers and 4 w
    14·1 answer
  • the sum of a number and 4 times a second number is 13. when the second number is subtracted from the first number, the differenc
    12·1 answer
  • Which of the following is correct
    14·1 answer
  • Hunter correctly answered 79% of questions on his last science test. If he
    12·1 answer
  • On the coordinate plane, mark all points (x,y) such that (A) y=x+3, (B) y=-x+3, (C) y=|x|+3
    11·1 answer
  • Evaluate the following expression, when n=-3 and r=-8<br> −5 + 3(−2r + 4n) <br> Pease answer ASAP
    14·1 answer
  • What is the area of this triangle? Enter your answer in the box. units² ​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!