Model the curve with a cosine function.
?
?
Note that the period of the curve is 
, its range is 
and the graph of the cosine function is shifted upward 55 units and shifted to the right 14 units. Write the model function as a function of x and ?.
What will be an ideal response?
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Use the distributive property to multiply. Then, if possible, simplify the resulting expression.4(a + b)
A. 4ab B. 8ab C. 4a + 4b D. 4a + b
Solve the problem. Bethany decides to knit scarves to sell at her town's monthly craft show and wants to know how much money she will make. The cost of materials is $5 per scarf, and she plans to charge $15 for them. Using P for her profit and N for the number of scarves, write an equation for her monthly profit and graph it, assuming she does not sell more than 25 scarves in a month.Monthly Profit
A. P = $10N
| Monthly Profit |
B. P = $15N - $5
| Monthly Profit |
C. P = $15N - $5
| Monthly Profit |
D. P = $10N
| Monthly Profit |
Analyze the graph of the given function f as follows:(a) Determine the end behavior: find the power function that the graph of f resembles for large values of |x|.(b) Find the x- and y-intercepts of the graph.(c) Determine whether the graph crosses or touches the x-axis at each x-intercept.(d) Graph f using a graphing utility.(e) Use the graph to determine the local maxima and local minima, if any exist. Round turning points to two decimal places.(f) Use the information obtained in (a) - (e) to draw a complete graph of f by hand. Label all intercepts and turning points.(g) Find the domain of f. Use the graph to find the range of f.(h) Use the graph to determine where f is increasing and where f is decreasing.f(x) = (x - 3)(x - 1)(x + 2)
What will be an ideal response?
Sketch a graph of the rectangular equation. [Hint: First convert the equation to polar coordinates.]
 figure 1.png)