Trig Functions: Intercepts, Intervals, and Maximum and Minimum
Not what you're looking for?
Let f be the function defined by f(x)=sin squared x - sinx for 0<or=x<or=(3pi)over 2.
a. find the x- intercepts of the graph of f
b.find the intervals on which f is increasing
c. find the absolute maximum and absolute minimum value of f. Justify your answer.
Purchase this Solution
Solution Summary
This shows how to find x-intercepts, intervals of increase, and absolute maximum and minimum of a trigonometric function.
Solution Preview
Please see attachment
Problem:
Let f be the function defined by f(x)=sin squared x - sinx for 0
a. find the x- intercepts of the graph of f
b.find the intervals on which f is increasing
c. find the absolute maximum and absolute minimum value of f. Justify your answer.
Solution:
a. x- intercepts of the graph of f are the x-coordinates of points at which the graph intersects the x-axis.
x-axis is y=0. Thus we are to find x such that
f(x)=sin^2(x )- sinx =0. i.e. sinx(sinx-1)=0. Thus
sinx=0 or sinx =1 Thus the x- intercepts of the graph of f
x=0, pi. and 2*pi here pi=3.14159.. ( you ...
Purchase this Solution
Free BrainMass Quizzes
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.