Consider the function. f(x)=x2-8x+12 d) Determine the number of times the graph of the function intersects the x-axis. Explain your answer.

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

A: We haveRx=145p−0.25p2

Q: f (x) = x3 – 9x² + 15x – 24 [1,4]

A: Given: The function fx=x3-9x2+15x-24 and the interval 1,4, To determine: The extreme of the given…

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: What is the turning point of the graph of 2) the function y = x2 - 6x + 2?

A: Here function is given by  y = x2 - 6x +2  This function can be written as  y = x2 - 6x +2 +7 -7  y…

Q: The profit function for a firm making widgets is  P(x) = 88x − x2 − 800.  Find the number of units…

A:

Q: Describe the domain and range of the function. f(x, y) = 9x²-y

A:

Q: The profit function for a firm making widgets is P(x) = 132x - x² - 1200. Find the number of units…

A: Given the profit function is P(x) = 132x-x2-1200

Q: The function is x % = y? What is 8 2 dude Y æ2

A: We need to find derivative.

Q: What is the domain and range of y= 2-x Is it a function?     Please provide solution thanks!

A:

Q: fx) = (4x² + 3x"²) e*. %3D Do you think that the domain of f'(x) is the same as the domain of f(x)?…

A:

Q: 2. Rudy graphed f(x) = x and n(x) = f(5x) on the same grid. Which is a true statement about the…

A: Given, f'(x)=x and n(x)=f'(5x)

Q: 2 points If 5 is a root of a function y = x² + bx + 20, what is the value of b? Explain. Your answer…

A: We will find the value of b. The equation is a quadratic equation.  We know that the quadratic…

Q: Describe the effect on the graph of y=x or y=1x+0 when the original function is changed to y = 5x -…

A: The original function is y=x The original function is changed to y=5x-6 f(x)->f(x)+k, vertical…

Q: Q4, sketch the graph of the function 3. |- x7 us =B

A:

Q: When solving f(x) > 0, where f is a polynomial function, I only pay attention to the sign of f at…

A: Whether the statement  is "When solving f(x) > 0, where f is a polynomial function, I only pay…

Q: Use the function rule to write the equation that you would use to find the number of the figure that…

A: Relationship between number of figure and  tiles needed for the corresponding figure number is given…

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

A:

Q: The profit function for a firm making widgets is  P(x) = 88x − x2 − 1000.  Find the number of units…

A:

Q: Describe the domain of the functiong(x,y) =√50−2x2−2y2

A:

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

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: The profit function for a firm making widgets is P(x) = 88x – x² – 1000. Find the number of units at…

A:

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: Differentiate the function: y=3x2 + x-7 - 5/11

A: Given  y=3x2 + x-7 - 5/11 Rearrange the given equation: y=3x2+1x7-511 Differentiate  y=3x2+1x7-511…

Q: Describe the domain and range of the function. KX, y) = 9x2 - y

A:

Q: 3x ? x²-9 What is the domain and range of the function fx=

A: Given function is  f(x)=3x(x2-9) Which is not well defined at x=±3. Thus, Domain of f(x) is…

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: Is |3x-1| a function?

A: A relation is said to be a function only when every point in the domain has a unique value in 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: Sketch the graph of f′. Explain how you found your answer.

A: Given,

Q: The function is X 2 = y² What is 8²% მ2 Y x²

A:

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

A:

Q: The revenue for a manufacturer of compute printers is given by the equation R= x(30-0.4x), where…

A: Given: The revenue for a manufacturer of computer printers is given by the equation R= x(30-0.4x),…

Q: What are the coordinates of the hole in the graph of the function? f (x) = 6x-36 2x²-17x+30 Enter…

A:

Q: The profit function for a firm making widgets is  P(x) = 154x − x2 − 1800.  Find the number of…

A:

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

A:

Q: If the domain of the function y = f(x) equals (-1,5] U [8, 10], what is the domain of the new…

A:

Q: The profit function for a firm making widgets is P(x) = 88x - x^2 - 1600. Find the number of units…

A: Given profit function is                                      P(x)=88x-x2-1600 for maximum or…

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

A:

Q: The profit function for a firm making widgets is  P(x) = 154x − x2 − 1800.  Find the number of…

A: Consider the profit function:

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

A: Given polynomial, fx=-2x3

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

A: Given : fx = 3xx2-9

Q: Find f (25). What does it mean in this situation?

A: No matter what style of diet you follow, to turn, you wish to burn more calories than you're taking…

Q: find the domain  f(x)=√10-x answer is (-infinity,10}

A: Let us find the domain of the given function in the next step.

Q: The percent p of high school seniors who have ever used marijuana can be related to x, the number of…

A:

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

A:

Q: find all x intercept f(x) =x3+7x2-16x-112

A: The x-intercept is the point at which the graph crosses the x-axis i.e.,f(x)=0.At this point, the…

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…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.