Which of the following equations could express the relationship between f and g? 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. Enjoy live Q&A or pic answer. Which of the following could be the function graphed according. Provide step-by-step explanations. SAT Math Multiple-Choice Test 25. 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 equation of the function graphed below? If you can remember the behavior for quadratics (that is, for parabolas), then you'll know the end-behavior for every even-degree polynomial.
Enter your parent or guardian's email address: Already have an account? To check, we start plotting the functions one by one on a graph paper. Matches exactly with the graph given in the question.
SAT Math Multiple Choice Question 749: Answer and Explanation. 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. By clicking Sign up you accept Numerade's Terms of Service and Privacy Policy. Advanced Mathematics (function transformations) HARD. Thus, the correct option is. Since the sign on the leading coefficient is negative, the graph will be down on both ends. Always best price for tickets purchase. Y = 4sinx+ 2 y =2sinx+4. 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. Question 3 Not yet answered. Which of the following could be the function graphed below. ← swipe to view full table →. Unlimited answer cards.
The attached figure will show the graph for this function, which is exactly same as given. 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). Try Numerade free for 7 days. Gauth Tutor Solution. 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. Therefore, the end-behavior for this polynomial will be: "Down" on the left and "up" on the right. Which of the following could be the function graphed at a. 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.
In all four of the graphs above, the ends of the graphed lines entered and left the same side of the picture. Crop a question and search for answer. 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. Ask a live tutor for help now. The actual value of the negative coefficient, −3 in this case, is actually irrelevant for this problem. These traits will be true for every even-degree polynomial.
Check the full answer on App Gauthmath. A Asinx + 2 =a 2sinx+4. Graph D shows both ends passing through the top of the graphing box, just like a positive quadratic would. This behavior is true for all odd-degree polynomials. Since the leading coefficient of this odd-degree polynomial is positive, then its end-behavior is going to mimic that of a positive cubic. Gauthmath helper for Chrome. 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. To unlock all benefits! Get 5 free video unlocks on our app with code GOMOBILE.
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