Mathematics, 28.04.2021 17:20 board8061
PLEASE PLEASE HURRY AND PLEASE DONT JUST TAKE POINTS WITHOUT WRITTINIG A REAL ANSWER! NO LINKS!
Thank you so much for helping! Again PLEASE only answer if you are 100% positive and it is a REAL ANSWER!
Please answer ALL 3 or AT LEAST 2! Thank you!
1- The table below shows the values of f(x) and g(x) for different values of x. One of the functions is a quadratic function, and the other is an exponential function. Which function is most likely increasing quadratically?
x f(x) g(x)
1 3 3
2 6 9
3 11 27
4 18 81
5 27 243
f(x), because it grows faster than g(x)
g(x), because it will not intersect f(x)
g(x), because it grows slower than f(x)
f(x), because it grows slower than g(x)
2- Use the function f(x) to answer the questions.
f(x) = −16x2 + 24x + 16
Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points)
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points)
3- The graph below shows a company's profit f(x), in dollars, depending on the price of pencils x, in dollars, sold by the company:
Graph of quadratic function f of x having x intercepts at ordered pairs negative 0, 0 and 10, 0. The vertex is at 5, 160.
Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit? (4 points)
Part B: What is an approximate average rate of change of the graph from x = 2 to x = 5, and what does this rate represent? (3 points)
Part C: Describe the constraints of the domain. (3 points)
Thank you so much for your help!
Answers: 2
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PLEASE PLEASE HURRY AND PLEASE DONT JUST TAKE POINTS WITHOUT WRITTINIG A REAL ANSWER! NO LINKS!
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