A Critique of the Proposed National Education Policy Reform
GRAPHS OF POLYNOMIAL FUNCTION.pptx
1.
2. At the end of the session, the
students are expected to:
1.describe and interpret the graphs
polynomial functions.M10AL-IIa-1
2.Identify the degree and turning
point of a polynomial function.
3.Appreciate the application of
polynomial function in real life.
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16. - The
equation of a constant function is
f(x)= c .The value of a constant
function is a fixed real number. The
slope of a constant function is 0.
The graph is a horizontal line
parallel to the x-axis.
Example: f(x) = 7
17. – function of
degree 1 whose graph is a
straight line.
Example: g(x) = x + 1
18. – degree 2;
graph of a quadratic function is a
curve called a parabola. Parabolas
may open upward or downward
and vary in "width" or
"steepness", but they all have the
same basic "U" shape.
Example: h(x) = x²
19. A is a power
function with a degree power of 3.
The domain of a cubic function is
all real numbers because the cubic
function is a polynomial function,
which are continuous curves.
Example: f(x) = x3
20. Guide Questions:
Considering the graph of basic
functions, how can you use this
knowledge to predict what the graphs
of higher order polynomials may look
like?
21. 1. All polynomial
functions have
graphs which are
smooth and
continuous.
of degree greater
than 2
no breaks or holes,
corners or cusps
22. 2. Turning points – points where the graphs
changes from increasing to decreasing (it looks like
a "hill"), or from decreasing to increasing (it looks
like a "valley").
25. Take note: Quartic functions like P(x) = x⁴ -
2x² - 15 have odd number of turning
points while quintic functions like P(x) = x ⁵
+ x ³ - 2x + 1 has even number of turning
points. The number of turning points is at
most (n-1), where “n” is the degree of the
polynomial function.
Example: Graph of
f(x) = x⁴ - 10x² + 9
26. Stand up if it is a polynomial function and just sit down if it is
not.
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35. State the possible number of turns the graph of each
function could make.
36. State the possible number of turns the graph of each
function could make.
37. State the possible number of turns the graph of each
function could make.
38. State the possible number of turns the graph of each
function could make.
39. State the possible number of turns the graph of each
function could make.
40. State the possible number of turns the graph of each
function could make.
41. State the possible number of turns the graph of each
function could make.
42. State the possible number of turns the graph of each
function could make.
43. ROLLER COASTER RIDE
The functions for roller coasters it
equal smooth curves. An example of a
polynomial function that represents a
rollercoaster would be
f(x)= -0.000833(x3 + 12x2 -580x -1200).
The graphs show two basic loops that
formed from the function and how it
mirror a ride.
44. ROLLER COASTER RIDE
The functions for roller coasters it
equal smooth curves. An example of a
polynomial function that represents a
rollercoaster would be
f(x)= -0.000833(x3 + 12x2 -580x -1200).
The graphs show two basic loops that
formed from the function and how it
mirror a ride.
