Which Of The Following Could Be The Function Graph - Gauthmath

Wednesday, 3 July 2024

← swipe to view full table →. 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. 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 equations could express the relationship between f and g? 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 Question 749: Answer and Explanation. Enjoy live Q&A or pic answer. We solved the question! 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 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.

  1. Which of the following could be the function graphed definition
  2. Which of the following could be the function graphed without
  3. Which of the following could be the function graphed function

Which Of The Following Could Be The Function Graphed Definition

Which of the following could be the equation of the function graphed below? This function is an odd-degree polynomial, so the ends go off in opposite directions, just like every cubic I've ever graphed. To answer this question, the important things for me to consider are the sign and the degree of the leading term. Which of the following could be the function graphed definition. Since the sign on the leading coefficient is negative, the graph will be down on both ends. 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. Create an account to get free access. 12 Free tickets every month. These traits will be true for every even-degree polynomial.

We'll look at some graphs, to find similarities and differences. 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. High accurate tutors, shorter answering time. To unlock all benefits! Try Numerade free for 7 days. Which of the following could be the function graphed function. Matches exactly with the graph given in the question. In all four of the graphs above, the ends of the graphed lines entered and left the same side of the picture.

Which Of The Following Could Be The Function Graphed Without

Step-by-step explanation: We are given four different functions of the variable 'x' and a graph. Unlimited answer cards. 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. Check the full answer on App Gauthmath. One of the aspects of this is "end behavior", and it's pretty easy. Thus, the correct option is. But If they start "up" and go "down", they're negative polynomials. The only equation that has this form is (B) f(x) = g(x + 2). Gauth Tutor Solution. This behavior is true for all odd-degree polynomials. Solved by verified expert. Which of the following could be the function graphed without. Clearly Graphs A and C represent odd-degree polynomials, since their two ends head off in opposite directions. A Asinx + 2 =a 2sinx+4. Gauthmath helper for Chrome.

Crop a question and search for answer. Answered step-by-step. 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. A positive cubic enters the graph at the bottom, down on the left, and exits the graph at the top, up on the right. Enter your parent or guardian's email address: Already have an account? We are told to select one of the four options that which function can be graphed as the graph given in the question. 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.

Which Of The Following Could Be The Function Graphed Function

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. The actual value of the negative coefficient, −3 in this case, is actually irrelevant for this problem. By clicking Sign up you accept Numerade's Terms of Service and Privacy Policy. Answer: The answer is. Get 5 free video unlocks on our app with code GOMOBILE. Ask a live tutor for help now. 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. Always best price for tickets purchase. This problem has been solved! Graph D shows both ends passing through the top of the graphing box, just like a positive quadratic would. SAT Math Multiple-Choice Test 25. The figure above shows the graphs of functions f and g in the xy-plane. To check, we start plotting the functions one by one on a graph paper.

Question 3 Not yet answered. Unlimited access to all gallery answers.