Which of the following equations could express the relationship between f and g? 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. Since the leading coefficient of this odd-degree polynomial is positive, then its end-behavior is going to mimic that of a positive cubic. The figure above shows the graphs of functions f and g in the xy-plane. Gauth Tutor Solution. Enter your parent or guardian's email address: Already have an account? 12 Free tickets every month. The only equation that has this form is (B) f(x) = g(x + 2). Answer: The answer is. We'll look at some graphs, to find similarities and differences. Which of the following could be the function graph - Gauthmath. 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. Question 3 Not yet answered.
Therefore, the end-behavior for this polynomial will be: "Down" on the left and "up" on the right. By clicking Sign up you accept Numerade's Terms of Service and Privacy Policy. 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. Solved by verified expert. To check, we start plotting the functions one by one on a graph paper. But If they start "up" and go "down", they're negative polynomials. Clearly Graphs A and C represent odd-degree polynomials, since their two ends head off in opposite directions. SAT Math Multiple-Choice Test 25. Which of the following could be the function graphed according. Try Numerade free for 7 days. A Asinx + 2 =a 2sinx+4. Which of the following could be the equation of the function graphed below?
Gauthmath helper for Chrome. Always best price for tickets purchase. Create an account to get free access. Check the full answer on App Gauthmath. The only graph with both ends down is: Graph B. Y = 4sinx+ 2 y =2sinx+4.
If you can remember the behavior for quadratics (that is, for parabolas), then you'll know the end-behavior for every even-degree polynomial. Ask a live tutor for help now. Matches exactly with the graph given in the question. Thus, the correct option is. 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. Which of the following could be the function graphed function. 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). The attached figure will show the graph for this function, which is exactly same as given. Step-by-step explanation: We are given four different functions of the variable 'x' and a graph. Since the sign on the leading coefficient is negative, the graph will be down on both ends. Unlimited access to all gallery answers. We are told to select one of the four options that which function can be graphed as the graph given in the question. 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. 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.
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