Which of the following could be the equation of the function graphed below? Y = 4sinx+ 2 y =2sinx+4. SAT Math Multiple Choice Question 749: Answer and Explanation. 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. Try Numerade free for 7 days. Unlimited answer cards. 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.
Graph D shows both ends passing through the top of the graphing box, just like a positive quadratic would. This problem has been solved! Clearly Graphs A and C represent odd-degree polynomials, since their two ends head off in opposite directions. Therefore, the end-behavior for this polynomial will be: "Down" on the left and "up" on the right.
Create an account to get free access. To answer this question, the important things for me to consider are the sign and the degree of the leading term. Enjoy live Q&A or pic answer. Enter your parent or guardian's email address: Already have an account? Which of the following could be the function graphed according. Solved by verified expert. Ask a live tutor for help now. If you can remember the behavior for quadratics (that is, for parabolas), then you'll know the end-behavior for every even-degree polynomial.
A positive cubic enters the graph at the bottom, down on the left, and exits the graph at the top, up on the right. 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. Crop a question and search for answer. Which of the following could be the function graphed definition. These traits will be true for every even-degree polynomial. But If they start "up" and go "down", they're negative polynomials. We are told to select one of the four options that which function can be graphed as the graph given in 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.
Unlimited access to all gallery answers. Provide step-by-step explanations. We'll look at some graphs, to find similarities and differences. 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. Get 5 free video unlocks on our app with code GOMOBILE. One of the aspects of this is "end behavior", and it's pretty easy. Which of the following could be the function graphed following. This behavior is true for all odd-degree polynomials. 12 Free tickets every month. The only graph with both ends down is: Graph B. To unlock all benefits!
Step-by-step explanation: We are given four different functions of the variable 'x' and a graph. 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. All I need is the "minus" part of the leading coefficient. Since the sign on the leading coefficient is negative, the graph will be down on both ends. In all four of the graphs above, the ends of the graphed lines entered and left the same side of the picture.
By clicking Sign up you accept Numerade's Terms of Service and Privacy Policy. 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. High accurate tutors, shorter answering time. To check, we start plotting the functions one by one on a graph paper. Matches exactly with the graph given in the question. Answered step-by-step. Check the full answer on App Gauthmath. 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. Thus, the correct option is. This function is an odd-degree polynomial, so the ends go off in opposite directions, just like every cubic I've ever graphed. We solved the question!
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