Tutors Answer Your Questions about Graphs (FREE)
Question 1131430: I have been asked to use a graphing calculator to approximate the location of the local maximum on the graph of y=x^3+12x^2-105x-3. values must be correct to the nearest hundredth. I feel like I am doing something wrong. I have a TI-84 Plus C Silver Edition calculator. I've tried to zoom in and I can't quite see the bottom nor top of the graph. It makes it hard to satisfy the question, because I can't see it. I've never done something like this before, so it's...frustrating.
Click here to see answer by josgarithmetic(39617) |
Question 1131573: What is the range for the piece wise function of 2x+4 where x ≥ 1 and
-x^2 where -3 ≤ x < 1?
I found that the domain is [-3,1], and points on the graph are (-3,-9),(-2,-4),(0,0),(1,6), and (2,8). However, because one of the pieces is quadratic, the -x^2
part of the function curves downward at 1 with an open circle at (1,-1).
I am unsure whether the range should be [-9,-1)∪[6,∞) or [-9,0]∪[6,∞).
Click here to see answer by stanbon(75887) |
Question 1131579: How do I transform the equation y=√x to shift left 4 units, down 3 units, and reflect over the x-axis?
I tried to do this and got f(x)= -√(x+4) -3 but the answer key I have says it is f(x)=√(4-x) -3. Can you explain what I did wrong?
Click here to see answer by Theo(13342)  |
Question 1131906: A bed manufacturer makes two types of bed: standard and luxury. The cost of manufacturing each type of bed is 2300$ for a standard model and 3700$ for a luxury model.
It costs 300$ to ship each standard model and 400$ to ship each luxury model. The maximum weekly costs are 851,000$ for manufacturing and 120,000$ for shipping. No more than 300 beds can be manufactured per week. How many bed of each type should be made to maximize profit if the profit is 6000$ on each standard and 8000$ on each luxury?
Click here to see answer by ikleyn(52779)  |
Question 1131909: The head of a management information center wants to staff consulting stations with two shifting teams. Team A will comprise of 3 senior programmers and 3 system analysts and Team B will consists of 2 senior programmers and 5 system analysts.
The director wants to use no more than 42 individuals. There will be at least 48 hours to be filled during the week, with Team A shift serving for 4 hours and Team B shift serving 3 hours. The cost of Team A per shift is 3200$ per hour and 2800$ per hour for a Team B per shift.
Determine the number of shifts of each team in order to minimize the cost.
Click here to see answer by greenestamps(13200)  |
Question 1132689: ABCD and IJKL are squares where measures shown for side AE and side DE apply to the other three sides of ABCD. Find the area of square IJKL in cm^2.
Here is a link to the diagram : http://i64.tinypic.com/2uh4fi1.jpg
Click here to see answer by ikleyn(52779)  |
Question 1133000: At the fair the Ferris Wheel has a diameter of 32m and its centre is 18m above the ground. The wheel completes one revolution every 30 seconds.
a) determine the domain and range of the function.
b) Find the equation for the height of the person in terms of time.
c) How high would the person be after being on the ride for 3.5 minutes?
Click here to see answer by Theo(13342)  |
Question 1133001: A person bungee cord jumping oscillates up and down. The distance from their highest point to their lowest point is 10m. and the person takes 7 s to complete 2 cycles. For the first few cycles the distance from the mean position, d metres, with respect to t seconds, is modelled by a cosine function.
a)Sketch a graph of this function for two cycles.
b) Write an equation that describes the distance of the person from their mean position as a function of time.
c) at what height is the person after 9 seconds?
Click here to see answer by ikleyn(52779)  |
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