Clearly Graphs A and C represent odd-degree polynomials, since their two ends head off in opposite directions. Graph D shows both ends passing through the top of the graphing box, just like a positive quadratic would. Since the sign on the leading coefficient is negative, the graph will be down on both ends. SAT Math Multiple Choice Question 749: Answer and Explanation. Check the full answer on App Gauthmath. Which of the following equations could express the relationship between f and g? We'll look at some graphs, to find similarities and differences. ← swipe to view full table →. Which of the following could be the function graphed by the function. This polynomial is much too large for me to view in the standard screen on my graphing calculator, so either I can waste a lot of time fiddling with WINDOW options, or I can quickly use my knowledge of end behavior. Answer: The answer is. Which of the following could be the equation of the function graphed below? SAT Math Multiple-Choice Test 25. Therefore, the end-behavior for this polynomial will be: "Down" on the left and "up" on the right.
A positive cubic enters the graph at the bottom, down on the left, and exits the graph at the top, up on the right. We see that the graph of first three functions do not match with the given graph, but the graph of the fourth function given by. Provide step-by-step explanations. Which of the following could be the function graphed for a. But If they start "up" and go "down", they're negative polynomials. Now let's look at some polynomials of odd degree (cubics in the first row of pictures, and quintics in the second row): As you can see above, odd-degree polynomials have ends that head off in opposite directions. One of the aspects of this is "end behavior", and it's pretty easy.
This behavior is true for all odd-degree polynomials. Enter your parent or guardian's email address: Already have an account? Y = 4sinx+ 2 y =2sinx+4. We are told to select one of the four options that which function can be graphed as the graph given in the question. Ask a live tutor for help now. If you can remember the behavior for cubics (or, technically, for straight lines with positive or negative slopes), then you will know what the ends of any odd-degree polynomial will do. The actual value of the negative coefficient, −3 in this case, is actually irrelevant for this problem. These traits will be true for every even-degree polynomial. SOLVED: c No 35 Question 3 Not yet answered Which of the following could be the equation of the function graphed below? Marked out of 1 Flag question Select one =a Asinx + 2 =a 2sinx+4 y = 4sinx+ 2 y =2sinx+4 Clear my choice. Unlimited access to all gallery answers. The figure above shows the graphs of functions f and g in the xy-plane. We solved the question! The figure clearly shows that the function y = f(x) is similar in shape to the function y = g(x), but is shifted to the left by some positive distance.
When you're graphing (or looking at a graph of) polynomials, it can help to already have an idea of what basic polynomial shapes look like. To check, we start plotting the functions one by one on a graph paper. Question 3 Not yet answered. All I need is the "minus" part of the leading coefficient. Unlimited answer cards.
Since the leading coefficient of this odd-degree polynomial is positive, then its end-behavior is going to mimic that of a positive cubic. Enjoy live Q&A or pic answer. Solved by verified expert. Always best price for tickets purchase. By clicking Sign up you accept Numerade's Terms of Service and Privacy Policy. Answered step-by-step. If they start "down" (entering the graphing "box" through the "bottom") and go "up" (leaving the graphing "box" through the "top"), they're positive polynomials, just like every positive cubic you've ever graphed. Gauth Tutor Solution. Which of the following could be the function graphed by plotting. This function is an odd-degree polynomial, so the ends go off in opposite directions, just like every cubic I've ever graphed. Gauthmath helper for Chrome. High accurate tutors, shorter answering time. Thus, the correct option is. This problem has been solved!
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