1. What is the leading coefficient of the polynomial function f(x) = 3x + x² – 6? а. 1 b. 2 с. 3 d. 4 2. How can we say that the polynomial function is written in standard form? a. if it is written in increasing powers of x b. if it is written in decreasing powers of X c. if it is written in increasing powers of y d. if it is written in dęcreasing powers of y 3. How should the polynomial function f(x) = 2x + x2 – 6+ 2x3 be written in standard form? a. f(x) = 2x + x? - 6+ 2x3 b. f(x) = 2x + 2x3 + x2 -6 c. f(x) = 2x3 + 2x + x2 – 6 d. f(x) = 2x3 + x² + 2x – 6
1. What is the leading coefficient of the polynomial function f(x) = 3x + x² – 6? а. 1 b. 2 с. 3 d. 4 2. How can we say that the polynomial function is written in standard form? a. if it is written in increasing powers of x b. if it is written in decreasing powers of X c. if it is written in increasing powers of y d. if it is written in dęcreasing powers of y 3. How should the polynomial function f(x) = 2x + x2 – 6+ 2x3 be written in standard form? a. f(x) = 2x + x? - 6+ 2x3 b. f(x) = 2x + 2x3 + x2 -6 c. f(x) = 2x3 + 2x + x2 – 6 d. f(x) = 2x3 + x² + 2x – 6
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:1. What is the leading coefficient of the polynomial function f(x) = 3x + x² – 6?
а. 1
%3D
b. 2
с. 3
d. 4
2. How can we say that the polynomial function is written in standard form?
a. if it is written in increasing powers of x
b. if it is written in decreasing powers of x
c. if it is written in increasing powers of y
d. if it is written in dęcreasing powers of y
3. How should the polynomial function f(x) = 2x + x² – 6 + 2x³ be written in standard
form?
а. f (x)
b. f(x) = 2x + 2x3 + x² – 6
c. f(x) = 2x3 + 2x + x2 – 6
d. f(x) = 2x3 + x² + 2x – 6
= 2x + x2
6+ 2x3
%3D
|
4. What are the end behaviors of a graph of f(x) = -2x + x3 + 3x5 - 4?
a. Rises to the left and falls to the right
b. Falls to the left and rises to the right
c. Rises to both directions
d. Falls to both directions
5. Your classmate Linus encounters difficulties in showing a sketch of the graph of
y = 2x3 + 3x2 – 4x + 6. You know that the quickest technique is the Leading Coefficient Test.
You want to help Linus in his problem. What hint/clue should you give?
a. The graph rises to the left and falls to the right
b. The graph falls to the left and rises to the right
c. The graph rises to both directions
d. The graph falls to both directions
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