page Polynomial function graphs Objective: Sketch graphs of polynomial functions that show the correct end behavior and intercepts. Investigation Directions: Sketch each graph without your using your calculator (if possible), and circle either (A) or (B). Look for a pattern in the answers. a. Ax) = (x - 2)(x – 4) Circle one: (A) At x = 4, the graph passes through the x-axis. (B) At x = 4, the graph just touches the x-axis without passing through. b. fx) = (x – 2)(x-4)2 Circle one: (A) At x = 4, the graph passes through the x-axis. (B) At x = 4, the graph just touches the x-axis without passing through. c. Ax) = (x - 2)(x - 4)3 Circle one: (A) At x = 4, the graph passes through the x-axis. (B) At x = 4, the graph just touches the x-axis without passing through. d. fx) = (x- 2)(x - 4)* Circle one: (A) At x = 4, the graph passes through the x-axis. (B) At x = 4, the graph just touches the x-axis without passing through. e. Ax)= (x- 2)(x - 4)* Circle one: (A) At x = 4, the graph passes through the x-axis. (B) At x = 4, the graph just touches the x-axis without passing through. f. Ax) = (x- 2) (x - 4) Circle one: (A) At x = 4, the graph passes through the x-axis. (B) At x = 4, the graph just touches the x-axis without passing through. g. Ax) = (x- 2)'(x- 4) Circle one: (A) At x = 4, the graph passes through the x-axis. (B) At x = 4, the graph just touches the x-axis without passing through. h. What pattern do you notice in your choices of (A) vs. (B)?
page Polynomial function graphs Objective: Sketch graphs of polynomial functions that show the correct end behavior and intercepts. Investigation Directions: Sketch each graph without your using your calculator (if possible), and circle either (A) or (B). Look for a pattern in the answers. a. Ax) = (x - 2)(x – 4) Circle one: (A) At x = 4, the graph passes through the x-axis. (B) At x = 4, the graph just touches the x-axis without passing through. b. fx) = (x – 2)(x-4)2 Circle one: (A) At x = 4, the graph passes through the x-axis. (B) At x = 4, the graph just touches the x-axis without passing through. c. Ax) = (x - 2)(x - 4)3 Circle one: (A) At x = 4, the graph passes through the x-axis. (B) At x = 4, the graph just touches the x-axis without passing through. d. fx) = (x- 2)(x - 4)* Circle one: (A) At x = 4, the graph passes through the x-axis. (B) At x = 4, the graph just touches the x-axis without passing through. e. Ax)= (x- 2)(x - 4)* Circle one: (A) At x = 4, the graph passes through the x-axis. (B) At x = 4, the graph just touches the x-axis without passing through. f. Ax) = (x- 2) (x - 4) Circle one: (A) At x = 4, the graph passes through the x-axis. (B) At x = 4, the graph just touches the x-axis without passing through. g. Ax) = (x- 2)'(x- 4) Circle one: (A) At x = 4, the graph passes through the x-axis. (B) At x = 4, the graph just touches the x-axis without passing through. h. What pattern do you notice in your choices of (A) vs. (B)?
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 83E
Related questions
Question
Transcribed Image Text:page
Polynomial function graphs
Objective: Sketch graphs of polynomial functions that show the correct end behavior and intercepts.
Investigation
Directions: Sketch each graph without your using your calculator (if possible), and circle either
(A) or (B). Look for a pattern in the answers.
a. Ax) = (x – 2)(x – 4)
Circle one:
(A) At x = 4, the graph passes through
the x-axis.
(B) At x = 4, the graph just touches the
x-axis without passing through.
b. fx) = (x – 2)(x – 4)²
Circle one:
(A) At x = 4, the graph passes through
the x-axis.
(B) At x = 4, the graph just touches the
x-axis without passing through.
c. Ax) = (x – 2)(x – 4)³
Circle one:
(A) At x = 4, the graph passes through
the x-axis.
(B) At x = 4, the graph just touches the
x-axis without passing through.
d. fx) = (x – 2)(x – 4)*
Circle one:
(A) At x = 4, the graph passes through
the x-axis.
(B) At x = 4, the graph just touches the
x-axis without passing through.
e. Ax)= (x- 2)(x – 4)*
Circle one:
(A) At x = 4, the graph passes through
the x-axis.
(B) At x = 4, the graph just touches the
x-axis without passing through.
f. Ax) = (x- 2) (x - 4)
Circle one:
(A) At x = 4, the graph passes through
the x-axis.
(B) At x = 4, the graph just touches the
x-axis without passing through.
g. Ax) = (x- 2)'(x - 4)³
Circle one:
(A) At x = 4, the graph passes through
the x-axis.
(B) At x = 4, the graph just touches the
x-axis without passing through.
h. What pattern do you notice in your choices of (A) vs. (B)?
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