Describe the end behavior of the graph of each polynomial function: • f{x) = -2x³ + 3x² + 11x – 6 The degree, 3, is odd. The leading coefficient, -2, is negative. The graph rises to the left and falls to the right. Rises left 18 Falls right f(x) = x - 4 The degree, 2, is even. The leading coefficient, 1, is positive. The graph rises to the left and rises to the right. Rises left Rises right

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.2: Polynomial Functions
Problem 7E
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Describe the end behavior of the graph of each polynomial
function:
• f{x) = -2x³ + 3x² + 11x – 6
The degree, 3, is odd. The leading coefficient, -2, is
negative. The graph rises to the left and falls to the right.
Rises left
18
Falls right
f(x) = x - 4
The degree, 2, is even. The leading coefficient, 1, is positive.
The graph rises to the left and rises to the right.
Rises left
Rises right
Transcribed Image Text:Describe the end behavior of the graph of each polynomial function: • f{x) = -2x³ + 3x² + 11x – 6 The degree, 3, is odd. The leading coefficient, -2, is negative. The graph rises to the left and falls to the right. Rises left 18 Falls right f(x) = x - 4 The degree, 2, is even. The leading coefficient, 1, is positive. The graph rises to the left and rises to the right. Rises left Rises right
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