All I need is the "minus" part of the leading coefficient. The only graph with both ends down is: Graph B. First, let's look at some polynomials of even degree (specifically, quadratics in the first row of pictures, and quartics in the second row) with positive and negative leading coefficients: Content Continues Below. Use your browser's back button to return to your test results. We are told to select one of the four options that which function can be graphed as the graph given in the question. Which of the following could be the function graphed by the function. Solved by verified expert.
Unlimited access to all gallery answers. Graph D shows both ends passing through the top of the graphing box, just like a positive quadratic would. Which of the following could be the function graphed according. But If they start "up" and go "down", they're negative polynomials. This function is an odd-degree polynomial, so the ends go off in opposite directions, just like every cubic I've ever graphed. 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. Always best price for tickets purchase.
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. The figure above shows the graphs of functions f and g in the xy-plane. Try Numerade free for 7 days. Therefore, the end-behavior for this polynomial will be: "Down" on the left and "up" on the right. Recall from Chapter 9, Lesson 3, that when the graph of y = g(x) is shifted to the left by k units, the equation of the new function is y = g(x + k). If you can remember the behavior for quadratics (that is, for parabolas), then you'll know the end-behavior for every even-degree polynomial. The actual value of the negative coefficient, −3 in this case, is actually irrelevant for this problem. Enjoy live Q&A or pic answer. Check the full answer on App Gauthmath. Question 3 Not yet answered. To check, we start plotting the functions one by one on a graph paper. 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. SAT Math Multiple-Choice Test 25.
Answer: The answer is. This behavior is true for all odd-degree polynomials. Crop a question and search for answer. 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. To unlock all benefits! A Asinx + 2 =a 2sinx+4. The exponent says that this is a degree-4 polynomial; 4 is even, so the graph will behave roughly like a quadratic; namely, its graph will either be up on both ends or else be down on both ends. ← swipe to view full table →. Since the sign on the leading coefficient is negative, the graph will be down on both ends. The only equation that has this form is (B) f(x) = g(x + 2). 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. High accurate tutors, shorter answering time. When the graphs were of functions with negative leading coefficients, the ends came in and left out the bottom of the picture, just like every negative quadratic you've ever graphed.
Thus, the correct option is. 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. We'll look at some graphs, to find similarities and differences. Ask a live tutor for help now. 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. 12 Free tickets every month.
SAT Math Multiple Choice Question 749: Answer and Explanation.
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