The number of butterflies in a butterfly sanctuary is modeled by the function, where x represents the number of months. fx) = 4(1.5) What is the value of f(2), the number of butterflies in the population after 2 months? Your answer

Q: The dollar cost of producing x bagels is given by the function C(x) = 300 + 0.25x −…

A:

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: A manufacturer of microwave ovens estimates that the revenue R, in dollars, the company receives is…

A: We haveRx=145p−0.25p2

Q: 2. What is the x- and y-intercepts of the function y = -2x + 7?. Is the function increasing or…

A: Explanation of the answer is as follows

Q: A company estimates the profit for selling a certain commodity by the given function, P(x) = -x2…

A: We will find out the required value.

Q: The number x (in thousands) of cat flea collars demanded each year when the price of a collar is p…

A:

Q: Write the equation of the function that has the values f(4)=9 and f(-4)= -7

A: Given f(4)=9 and f(-4)= -7 So the coordinates are (4,9) and (-4,-7)

Q: The value, V, of a computer can be modeled by the function y) = 1, 300(61)', where t is the number…

A: Given that V represents the value of a computer and t represents the number of years since the…

Q: Find the equation of the function and explain your thought process

A:

Q: On the set of axes below, graph fx) = |x– 3| +2. |f(x) How did the function shift from the parent…

A:

Q: 4 -8 6,

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

Q: What is the point of inflection for the function f(x) = 2x³ + 12x? - 3? %3!

A:

Q: A quarter falls off a building that is 144 feet tall. If the equation for height as a function of…

A: A quarter falls of a building that is 144 feet tall.The equation for height as a function of time is…

Q: 3. f(x)= ,a=2 2x-7'

A: We will find the slope and equation of tangent line in the following step.

Q: Write a relationship for a function whose f(x) values are 2 less than three times the square of x.

A: we have to write a relationship for a function whose f(x) values are 2 less than three times the…

Q: The number x (in thousands) of cat flea collars demanded each year when the price of a collar is p…

A:

Q: Suppose the number of Twitter followers for a particular celebrity x months afte opening her account…

A: fx=-20,000x2+800,000x

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 y = (x- 3) + 4 by transforming the base function y = x?.

A:

Q: Find the value of f(-2).

A: Clearly from the given graph we can see that when x = (-2) value of the graph is 3.

Q: Inflation causes a decrease in the value of money used to purchase goods and services. The…

A: Given that the purchasing power is given by y. given that y is less than 1.00 or 1.  We have to…

Q: Could xln2 possibly be the same as 2ln x for x> 0? Graph the two functions and explain what you…

A: Given functions are,

Q: ƒ f(x) = 25, find f'(-3).

A: Topic:- derivatives

Q: Describe the end behavior of the graph of the function f(x)=5(4)x−10. As x→−∞, f(x)→  = ?   As…

A:

Q: .) What is the range of the function y= x^2 - 6? b.) For the function g(x)= x^2 +3x - 5, what is…

A:

Q: For Exercise, use the graph of y = f(x) to graph the given function. -3--y = f(x)- -5-4-32-1 y = f(x…

A: means the graph f(x) moved 2 units to the left, 3 units down and shrank by 1/2 vertically. So the…

Q: Suppose that the x-intercepts of the graph of y= f(x) are -8 and 1.       What are the x-intercepts…

A:

Q: Describe the relationship between the graph of ​f(x)=x2−2x+4 and the graph of y=x2

A: To determine: Ther relation between the graphs of given two functions. Given equations:…

Q: Q5: Find the domain and range for:- (Answer two only) (2) F(x) = 1 + x?

A: This is a function problem

Q: Write the function whose graph is the graph of y= absolute value of x​, but is translated 3 units to…

A:

Q: Pamela is selling cookies. She chargers 75 cents for each cookie with the ingredient costing 2.00…

A: Consider the given information:

Q: What is the effect on the graph of f(x)= x when g(x)= + 4?

A: when you add +4 in function  e.g f(x)=x g(x)=f(x+4)=x+4

Q: Show that an increase in the number of variables k never decreases the R2.

A: An increase in the number of k never decrease the coefficient of regression

Q: While riding his bicycle, a rock becomes embedded in Joshua's tire. The equation roprosenting the…

A:

Q: f(x)=150x/-25x-10 f'(x)=?

A:

Q: Not sure how to do this.

A: From the given graph, it is observed that graph takes value 4 as the value of x takes 3.

Q: Find the domain of the function. √-x-3 Write your answer using interval notation.

A:

Q: Find the value of f(-9). y = f(x) 10 10 4.

A: Given graph of function is

Q: -2x + 2 g(S(x)

A:

Q: Which statement explains the type of function that is represented by the equation y= x2 + 9?

A: The given equation Y=X2+9    Domain set of all input values where f(x) defined  Range Set of all…

Q: Amanda sells homemade birthday cakes for a profit of $39 per cake. She is considering switching to a…

A: The given data is: Amanda sells homemade birthday cakes for a profit of $39 per cake The profit…

Q: The domain of the function, y = 3x + 1 is {1, 3, 5, 7}. Identify the range

A:

Q: 6. What is the range of the function y = 4x-7 when the domain is (-2, -1, 3}? Your answer

A: The given function is  f(x) = y = 4x - 7 Domain = {-2, - 1, 3} To find range of the function

Q: If Billy made $24, how many candy bars did he sell? -3.4 =0.L What does the x-intercept of the…

A: Given points are : (5,-3) and (15,3)

Q: A solar panel manufaccturer estimates tat the profit y (in dollars) generated by producing x solar…

A:

Q: The cost of renovating p%of pollutants from a coal -fired power plant can be given by the following…

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Q: Do f(x) - 2x2-1 and h(t)= 2t2-1 represent the same function ? Justify your answer

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Q: 3x ? What are the x-intercept and y-intercept of the function fx =-

A: Given : fx = 3xx2-9

Q: What are the domain and range of f(x) = - 37?

A:

Q: Kelly has 16 m of fencing to enclose her flower garden. The function f(x) =- (x - 4)* + 16 can be…

A: Given,          Kelly has 16 m of fencing to enclose her flower garden. The function…