Keyla went to the top of a bridge, threw a water balloon up into the air and watched it crash on the ground below. The height of the balloon, as a function of time, could be modeled by the function: f(x) = -(x - 4) + 20. what is the maximum height that the balloon reaches?

Q: The assets A of public pension funds (in billions of dollars) can be approximated by the function…

A: x=3 corresponds to 2003.So, 2013 is 3+(2013-2003)= 3+10=13 year

Q: Diego wrote f(x) = +2) (x-4) as an example of a function whose graph has x-intercepts at x =-4, 2.…

A: for finding x intercept set f(x)=0

Q: The height of a projectile fired vertically into the air (neglecting air resistance) at an initial…

A: The height of projectile f(x) in feet is given by f(x)=96x-16x2, where x is time in seconds. The…

Q: The function f(x) = -x2 + 46x - 360 models the daily profit, f(x), in hundreds of dollars, for a…

A: Differentiating with respect to x, we get Again differentiating with respect to x, we get Now

Q: The number of mosquitoes M(x), in millions, in a certain area depends on the june rainfall x, in…

A:

Q: Graph the function. F(x) = − 5/6x + 3

A:

Q: Use the graph of f(x) = x2 to write an equation for the function represented by the graph.

A:

Q: Graph the function. 2) f(x) = X + 2)(x + 5) x2 - 36

A: We have to graph the function

Q: 8. f(x)=1+2Vx+4

A:

Q: 4 -8 6,

A: Graph of is  The equation of this graph is , where (a,b) = (0,0)

Q: Describe the end behavior of the graph of the function f(x)=5(4)x−4.

A: The given function is fx=54x-4=20x-4. It is a linear function which is part from the family of…

Q: Graph the function f (x)= -3x+7.

A: An equation of a line is completely determined if two points on the line are given. This is because…

Q: Graph the three zeros of the function.

A: Explanation of the answer is as follows

Q: What is the vertex of the function f(x) = -15x -5

A:

Q: Q2 (b) if the profit function for a product is P (x) = 5600x + 85 x - x' - 200,000 dollars, selling…

A:

Q: Which function is called quadratic functions?

A:

Q: Find where function is increasing and decreasing. And graph the function.   f(x)= x4-33x2+90x+216

A: To determine the intervals on which f(x) is increasing or decreaing

Q: Graph the function f(x) = x2 - 4x - 5 in a rectangular coordinate system. If two functions are…

A: The given function is f(x) = x2 - 4x - 5.

Q: explain why knowing the end behavior of the function f(x)=-4x/2x4+2x3-24x2 is the key to graphing it…

A:

Q: Graph the function. 3x 40) f(x) = (x + 5)(x - 3)

A: For the given graph  find vertical asymptotes , horizontal asymptotes and intercepts  and graph it.

Q: Find the value of f(x)=-16x3+18x2-x+2 at x= -2

A: Given: fx=-16x3+18x2-x+2 To Find:  The value of fx at x=-2

Q: Find the break-even point F(x) = 40x^2 -60x +228 G(x) = 23x^2 - 20x + 3000 %3D

A: At break even point F(x)=G(x)

Q: 6 foot tall basketball player shoots a ball towards the basket and misses. The height in feet of the…

A: We can use projectile motion formula to solve the given function

Q: Identify the end behavior for the function - y = (3x-1)(x+2)^2

A:

Q: Describe the end behavior of f(x) = 2/7x^5+6x^3-8.

A:

Q: The path of a ball is modeled by the function f(x)=-1/20 x^2+3x+5, where f(x) is the height (in…

A: The path of a ball is modeled by the function f(x)=-1/20 x^2+3x+5, where f(x) is the height (in…

Q: The total number of seats in an auditorium is modeled by f(x) = 2x2 - 6x, where x represents the…

A: Given,          The total number of seats in an auditorium is modeled by fx=2x2-6x, where…

Q: what is the end behaviour of the function  x4-5x2+1

A: Find end behaviour of polynomial function.

Q: P3, sketch the graph of the function 3=メ-4X +3

A:

Q: Social psychologists have found that as the discrepancy between the views of a speaker and those of…

A:

Q: How can you tell if a function is quadratic?

A:

Q: Find the domain of the function : √(x-3)

A: We have to find the domain of the function: x-3 We know that inside square root only positive value…

Q: Find the relative extreme values of the function f(x) = - - 6x + 5.

A: Calculate f'(x) and f''(x) for f(x)=x33-x22-6x+5 as follows.…

Q: What are the zeros of the function?

A:

Q: Choose the graph of the function without using your calculator. Then, use your calculator to check…

A:

Q: Find f(-3). f(x) = 4x +7

A:

Q: Graph the function f(x) = (x2 - x - 6)/(x + 1) in a rectangular coordinate system. If two functions…

A: Solution:- Graph of the function f(x)=(x2-x-6)(x+1)

Q: Identify the end behavior for the function - y = -3x^2 (x+2)

A: The function y=-3x2(x+2). We have to find the end behavior of the given function.

Q: Find the domain and range of the function and sketch it: 2x2 y -1

A: First find the domain.. Denominator is not equal to 0 then find the zeroes and poles.. Then find the…

Q: The size of the raccoon population in a park increases  at 4.9%, with a current population at 119,…

A: To find the population of raccoons in 6 years.

Q: The function  models the daily profit, f(x)=-x2 +46x-360, in hundreds of dollars, for a company that…

A: f(x) = -x 2 + 46 x - 360 f(x) represents the daily profit in hundred so f(x) = 88

Q: Optimize the function 81x2+y2 subject to 4x2+y2=9

A: here we Optimize the function 81x2+y2 subject to 4x2+y2=9  F(x,y)= 81x2+y2  g(x,y) = 4x2+y2=9

Q: Find f(-2). f (x) = 2x2 + 3x - 4

A:

Q: Describe the end behavior of f(x) = -2x3

A: Given polynomial, fx=-2x3

Q: Proble Diego wrote f(x) = (x + 2)(x – 4) as an example of a function whose graph has x-intercepts at…

A: Here x intercept comest at x=4,-2.

Q: Kiran wrote f(x) = (x – 3)(x – 7) as an example of a function whose graph has x-intercepts at -3,…

A:

Q: A smart phone manufacturer is able to produce 500 amount of phone a day. If the profit for daily…

A:

Q: Find the point of inflection of the graph of the function. f(x) = 2 – 7x4

A: Consider the given function y=fx=2-7x4 First, find the first derivative of the function…