Given the function
express the function as a polynomial in general form and determine the leading term, degree, and end behavior of the function.
The leading term is
so it is a degree 3 polynomial. As
approaches positive infinity,
increases without bound; as
approaches negative infinity,
decreases without bound.
Identifying local behavior of polynomial functions
In addition to the end behavior of polynomial functions, we are also interested in what happens in the “middle” of the function. In particular, we are interested in locations where graph behavior changes. A
turning point is a point at which the function values change from increasing to decreasing or decreasing to increasing.
We are also interested in the intercepts. As with all functions, the
y- intercept is the point at which the graph intersects the vertical axis. The point corresponds to the coordinate pair in which the input value is zero. Because a polynomial is a function, only one output value corresponds to each input value so there can be only one
y- intercept
The
x- intercepts occur at the input values that correspond to an output value of zero. It is possible to have more than one
x- intercept. See
[link].
Intercepts and turning points of polynomial functions
A
turning point of a graph is a point at which the graph changes direction from increasing to decreasing or decreasing to increasing. The
y- intercept is the point at which the function has an input value of zero. The
intercepts are the points at which the output value is zero.
Given a polynomial function, determine the intercepts.
Determine the
y- intercept by setting
and finding the corresponding output value.
Determine the
intercepts by solving for the input values that yield an output value of zero.
Determining the intercepts of a polynomial function
Given the polynomial function
written in factored form for your convenience, determine the
and
intercepts.
The
y- intercept occurs when the input is zero so substitute 0 for
The
y- intercept is (0, 8).
The
x -intercepts occur when the output is zero.
The
intercepts are
and
We can see these intercepts on the graph of the function shown in
[link] .
Communication is effective because it allows individuals to share ideas, thoughts, and information with others.
effective communication can lead to improved outcomes in various settings, including personal relationships, business environments, and educational settings. By communicating effectively, individuals can negotiate effectively, solve problems collaboratively, and work towards common goals.
it starts up serve and return practice/assessments.it helps find voice talking therapy also assessments through relaxed conversation.
miss
Every time someone flushes a toilet in the apartment building, the person begins to jumb back automatically after hearing the flush, before the water temperature changes. Identify the types of learning, if it is classical conditioning identify the NS, UCS, CS and CR. If it is operant conditioning, identify the type of consequence positive reinforcement, negative reinforcement or punishment
nature is an hereditary factor while nurture is an environmental factor which constitute an individual personality. so if an individual's parent has a deviant behavior and was also brought up in an deviant environment, observation of the behavior and the inborn trait we make the individual deviant.
Samuel
I am taking this course because I am hoping that I could somehow learn more about my chosen field of interest and due to the fact that being a PsyD really ignites my passion as an individual the more I hope to learn about developing and literally explore the complexity of my critical thinking skills