pre calc

posted by .

Which three of the twelve basic functions are bounded( above and below)?

Three of the tweleve basic functions are even. Which are they?

  • pre calc -

    Are you referring to the trigonometric functions? Namely sin, cos, tan, csc, sec, and cot that make up the first 6, and their inverses that make the other 6?

    It would be a good exercise to sketch each of the three basic functions (sin, cos, and tan) to familiarize yourself with the nature of these functions, if this was not already done in class by your teacher.

    The functions csc, sec and cot are the reciprocals. The reciprocals go to zero whenever x approaches 0.

    The graphs of inverses poses an extra challenge. Since inverses of periodic functions exist for a particular interval, so the sin, cos and tan functions have to be reduced to a monotonic function that covers the range. For example, for sin(x), the interval chosen is -π/2 to π/2. For cosine, it is from 0 to π. For tangent, the interval chosen is from -π/2 to π/2.
    From there, you can deduce the graph of the inverses by reflection about the line y=x.

    If you use the textbook Precalculus by Stewart,Redlin and Watson, you can find a lot of information in Sect. 7.4 between pages 550-557.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Algebra

    Using the index of a series as the domain and the value of the series as the range, is a series a function?
  2. pre calc

    The Identity Function The Squaring Function The Cubing Function The Reciprocal Function The Square Root Function The Exponential Functional Lo The Natural Logarithum Function The Sine Function The Cosine Function The Absolute Value …
  3. pre calc

    1. For the following functions listed below: (a) f(x) = -2cosx f(x) = 0.25sinx (b) f(x) = -3sin(2x+3)+7 f(x) = sinx + 4 Find : (i) the amplitude (ii) the period
  4. graphing trig functions

    for graphing basic trig functions such as y=2sinx or y=1/3cosx, how do you know what the points are to graph with out using a calculator?
  5. Pre calculus

    Precalculus-------Give an example of three functions f,g,h none of which is a constant function such that?
  6. Pre-Calculus

    Operations with Functions write the function below as either a sum/difference/product/quotient of 2 r more functions a. h(x) = x^2+3x+9 How Would I do this?
  7. Math-Exponential functions

    An investment of $5,000 is made with three options:6% coumpounded annually, quarterly, and continuously. 1.) Create three functions 2.)What will be the value of each investment after 40 years?
  8. calculus

    Let f'(x)=4x^3-12x^2. (a) find three different functions with derivative equal to f'(x). how are the graphs of the three functions related?
  9. basic math

    how to write forty five thousand three hundred twelve
  10. Math

    There are 4 odd functions and 3 even functions in the gallery of the 12 basic functions. After multiplying these functions together pairwise in different combinations and exploring their graphs, make a conjecture about the summetry …

More Similar Questions