Answered step by step
Verified Expert Solution
Link Copied!

Question

00
1 Approved Answer

12. Use the graph to write the formula for a polynomial function of least degree. f ( x ) = X f(x) of X -6

12.

image text in transcribedimage text in transcribedimage text in transcribedimage text in transcribedimage text in transcribedimage text in transcribedimage text in transcribedimage text in transcribed
Use the graph to write the formula for a polynomial function of least degree. f ( x ) = X f(x) of X -6 -4 -2 2 4 6 -2/ 4 Recall that the zeros of the graph of a polynomial are used to write the factors of the polynomial function. Considering each zero individually, does the graph around the zero cross the x-axis or touch and bounce off of the x-axis? Based on the appearance of the graph, what is the multiplicity of each zero and the corresponding degree of each factor? Use the values of the coordinates of the y-intercept to determine the stretch factor for the polynomial function.Use the graph to write the formula for a polynomial function of least degree. f(x) : f(x) -4 -2 - X 4 -2 4Use the graph to identify zeros and multiplicity. X = X (smallest x-value) with multiplicity X= X with multiplicity 4 (largest x-value) with multiplicity |2 y 4 2 X -6 -4 -2 2 4 6 - 2 4 Recall that zeros of a function are the values of x at which y = 0. Considering each zero individually, does the graph cross or bounce off of the x-axis at the zeros? Based on the appearance of the graph, what is the multiplicity of each zero?15. [-/6 Points] DETAILS OSPRECALC1 3.4.278. Use the graph to identify zeros and multiplicity. X = (smallest x-value) with multiplicity with multiplicity (largest x-value) with multiplicity 6 4 X -6 -4 -2 2 4 6 -2 -4Use the given information about the polynomial graph to write the equation. Degree 5. Double zero at * = 1, and triple zero at x = 3. Passes through the point (x, y) = (2, 14). y17. [-/1 Points] DETAILS OSPRECALC1 3.4.286. MY NOTES ASK YOUR TEA Use the given information about the polynomial graph to write the equation. Degree 5. Roots of multiplicity 2 at x = -3 and x = 2 and a root of multiplicity 1 at x = -2. y-intercept at (x, y) = (0, 70). y =Use a calculator to approximate the extrema. x) 2 2x3 - ax 3 Approximate the local minimum. (Round your answers to two decimal places. If an answer does not exist, enter ONE.) w = ( S ) If it exists, is this local minimum also a global minimum? CI Yes CI No CI A local minimum does not exist. Approximate the local maximum. (Round your answers to two decimal places. If an answer does not exist, enter DNE.) . = ( S ) If it exists, is this local maximum also a global maximum? 0 Yes D No D A local maximum does not exist. Use a calculator to approximate the extrema. x) : x4 - x3 + 6 Approximate the local minimum. {Round your answers to two decimal places. If an answer does not exist, enter DNE.) mn=(% ) x If It exists, is this local minimum also a global minimum? 9) Yes 0 No 0 A local minimum does not exist. i Approximate the local maximum. (Round your answers to two decimal places. If an answer does not exist, enter DNE.) mn=(0 ) X If it exists, is this local maximum also a global maximum? 0 Yes 0 No Q A local maximum does not exist. \\I To estimate local and global extrema graphically, the viewing window Is important to be able to identify all changes in direction of the graph. The CALC function on the calculator can be used to estimate each local extrema or global extrema. For each extrema move the cursor to the left and press ENTER, then to the right and press ENTER, and finally closer to the point of interest and press ENTER. What ordered pair is given for the global minimum

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access with AI-Powered Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Calculus

Authors: Ron Larson, Bruce H. Edwards

10th Edition

9781285057095

Students also viewed these Mathematics questions