Which Of The Following Could Be The Function Graphed At A | Course 2 Chapter 6 Equations And Inequalities

Tuesday, 30 July 2024

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. Since the leading coefficient of this odd-degree polynomial is positive, then its end-behavior is going to mimic that of a positive cubic. We solved the question! Answered step-by-step. This problem has been solved! Advanced Mathematics (function transformations) HARD. To check, we start plotting the functions one by one on a graph paper. 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. Which of the following could be the equation of the function graphed below? Which of the following could be the function graphed correctly. High accurate tutors, shorter answering time.

  1. Which of the following could be the function graphed by the function
  2. Which of the following could be the function graphed at right
  3. Which of the following could be the function graphed by plotting
  4. Which of the following could be the function graphed definition
  5. Which of the following could be the function graphed at a
  6. Course 2 chapter 6 equations and inequalities pdf answers
  7. Course 2 chapter 6 equations and inequalities answer key
  8. Course 2 chapter 6 equations and inequalities test form 1b answers
  9. Chapter 6 course 2 equations and inequalities

Which Of The Following Could Be The Function Graphed By The Function

In all four of the graphs above, the ends of the graphed lines entered and left the same side of the picture. Gauth Tutor Solution. Create an account to get free access. Thus, the correct option is. Which of the following could be the function graphed at right. Which of the following equations could express the relationship between f and g? 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.

Which Of The Following Could Be The Function Graphed At Right

Graph D shows both ends passing through the top of the graphing box, just like a positive quadratic would. By clicking Sign up you accept Numerade's Terms of Service and Privacy Policy. 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. Unlimited answer cards. Since the sign on the leading coefficient is negative, the graph will be down on both ends. The figure above shows the graphs of functions f and g in the xy-plane. 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 By Plotting

To answer this question, the important things for me to consider are the sign and the degree of the leading term. Matches exactly with the graph given in the question. Which of the following could be the function graphed at a. 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. SAT Math Multiple Choice Question 749: Answer and Explanation. The only graph with both ends down is: Graph B.

Which Of The Following Could Be The Function Graphed Definition

Step-by-step explanation: We are given four different functions of the variable 'x' and a graph. 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). One of the aspects of this is "end behavior", and it's pretty easy. 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. 12 Free tickets every month. A Asinx + 2 =a 2sinx+4. The attached figure will show the graph for this function, which is exactly same as given. Unlimited access to all gallery answers. These traits will be true for every even-degree polynomial. To unlock all benefits!

Which Of The Following Could Be The Function Graphed At A

The only equation that has this form is (B) f(x) = g(x + 2). We'll look at some graphs, to find similarities and differences. Crop a question and search for answer. This function is an odd-degree polynomial, so the ends go off in opposite directions, just like every cubic I've ever graphed. Always best price for tickets purchase. Gauthmath helper for Chrome. Use your browser's back button to return to your test results. Get 5 free video unlocks on our app with code GOMOBILE. Ask a live tutor for help now. This behavior is true for all odd-degree polynomials. The actual value of the negative coefficient, −3 in this case, is actually irrelevant for this problem. We are told to select one of the four options that which function can be graphed as the graph given in the question.

Answer: The answer is. Therefore, the end-behavior for this polynomial will be: "Down" on the left and "up" on the right. Enjoy live Q&A or pic answer. All I need is the "minus" part of the leading coefficient. Enter your parent or guardian's email address: Already have an account? Check the full answer on App 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.

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