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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, Dead And Company Citi Field Poster Contest

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Thus, the correct option is. By clicking Sign up you accept Numerade's Terms of Service and Privacy Policy. If you can remember the behavior for quadratics (that is, for parabolas), then you'll know the end-behavior for every even-degree polynomial. Advanced Mathematics (function transformations) HARD. Which of the following could be the equation of the function graphed below? The figure above shows the graphs of functions f and g in the xy-plane. Provide step-by-step explanations. ← swipe to view full table →. Matches exactly with the graph given in the question. Gauth Tutor Solution. Ask a live tutor for help now. Check the full answer on App Gauthmath. Get 5 free video unlocks on our app with code GOMOBILE.

Which Of The Following Could Be The Function Graphed Within

Create an account to get free access. Which of the following equations could express the relationship between f and g? Try Numerade free for 7 days. 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. The attached figure will show the graph for this function, which is exactly same as given. The only graph with both ends down is: Graph B. To unlock all benefits! Answer: The answer is. Since the sign on the leading coefficient is negative, the graph will be down on both ends.

Which Of The Following Could Be The Function Graphed Correctly

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). Crop a question and search for answer. The actual value of the negative coefficient, −3 in this case, is actually irrelevant for this problem. This function is an odd-degree polynomial, so the ends go off in opposite directions, just like every cubic I've ever graphed. 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. We are told to select one of the four options that which function can be graphed as the graph given in the question. One of the aspects of this is "end behavior", and it's pretty easy. To check, we start plotting the functions one by one on a graph paper. To answer this question, the important things for me to consider are the sign and the degree of the leading term. 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.

Which Of The Following Could Be The Function Graphed At A

Unlimited answer cards. But If they start "up" and go "down", they're negative polynomials. High accurate tutors, shorter answering time. Therefore, the end-behavior for this polynomial will be: "Down" on the left and "up" on the right. We'll look at some graphs, to find similarities and differences. Step-by-step explanation: We are given four different functions of the variable 'x' and a graph.

Which Of The Following Could Be The Function Graphed Function

All I need is the "minus" part of the leading coefficient. Enter your parent or guardian's email address: Already have an account? A positive cubic enters the graph at the bottom, down on the left, and exits the graph at the top, up on the right. Y = 4sinx+ 2 y =2sinx+4. Solved by verified expert. Answered step-by-step. 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. Unlimited access to all gallery answers.

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. We solved the question! In all four of the graphs above, the ends of the graphed lines entered and left the same side of the picture. The only equation that has this form is (B) f(x) = g(x + 2). These traits will be true for every even-degree polynomial.

Graph D shows both ends passing through the top of the graphing box, just like a positive quadratic would. 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. 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. Enjoy live Q&A or pic answer. Since the leading coefficient of this odd-degree polynomial is positive, then its end-behavior is going to mimic that of a positive cubic. 12 Free tickets every month.

This behavior is true for all odd-degree polynomials. SAT Math Multiple Choice Question 749: Answer and Explanation. Question 3 Not yet answered. 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. This problem has been solved!

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