question 1 Given the fallowing functions: f(x)=sinx, g(x)=cosx and h(x)=tanx a) plot the graphs of f(x), g(x) and h(x). b)plot the functions a(x)=2sin(3x-x/2).what is the amplitude, period, and shift from the original function f(x).

question 1 Given the fallowing functions: f(x)=sinx, g(x)=cosx and h(x)=tanx a) plot the graphs of f(x), g(x) and h(x). b)plot the functions a(x)=2sin(3x-x/2).what is the amplitude, period, and shift from the original function f(x).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.3: The Addition And Subtraction Formulas

Problem 70E

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Question

question 1

Given the fallowing functions: f(x)=sinx, g(x)=cosx and h(x)=tanx

a) plot the graphs of f(x), g(x) and h(x).

b)plot the functions a(x)=2sin(3x-x/2).what is the amplitude, period, and shift from the original function f(x).

question 2

Given the following functions:

f (x) =e^x h (x) = ln (x)

Compute the following:

a) Plot the graph of f (x), h (x) on the same axes.
b) From the graph in question 4, explain the relationship between f(x) and h(x).

c) The function f (x) = e^2 is always positive. Explain why this is so?
d) The function h (x) = ln(x) never crosses the y-axis. Explain why this is so?

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