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What functions are positive in the third quadrant?
If you are talking about functions in 2-dimensional space, that is, functions of the sort y = f(x), then, by definition, none can be positive in the third quadrant where y is always negative. If you are talking about functions in 3-dimensional space, ie functions of the kind z = f(x,y), then for the third quadrant in terms of x and y (x<0 and y<0), there are infinitely many functions for which z > 0.
What are the functions and classification in calculus?
1.4 Classification Of FunctionsAnalytically represented functions are either Elementary or Non-elementary.The basic elementary functions are :1) Power function :y = xm , m ÎR2) Exponential function :y = ax , a > 0 but a ¹ 13) Logarithmic function :y = log ax , a > 0, a ¹ 1 and x > 04) Trigonometric functions :y = sin x, y = cos x, y = tan x,y = csc x, y = sec x and y = cot x5) Inverse trigonometric functionsy = sin-1 x, y = cos-1x, y = tan-1x,OR y = cot-1x, y = cosec-1x, y = sec-1x.y = arc sin x, y = arc cos x, y = arc tan xy = arc cot x, y = arc csc x and y = arc sec x
Do functions always have x and y Intercepts?
the x is dependent and the y is independent and the x numbers cant repeat themself and yes they do have intercepts
What are the graphs of the inverse trigonometry functions?
If you reflect a function across the line y=x, you will have a graph of the inverse. For trigonometric problems: y = sin(x) has the inverse x=sin(y) or y = sin-1(x)
How can you use intercept form?
You can use intercept form to graph and write quadratic functions. y=a(x-p)(x-q) You can also use intercept form to graph and write cubic functions. y=a(x-p)(x-q)(x-r)
Is y x 2 a function?
y = x2 or y = x +2, both are functions
What functions are positive in the third quadrant?
If you are talking about functions in 2-dimensional space, that is, functions of the sort y = f(x), then, by definition, none can be positive in the third quadrant where y is always negative. If you are talking about functions in 3-dimensional space, ie functions of the kind z = f(x,y), then for the third quadrant in terms of x and y (x<0 and y<0), there are infinitely many functions for which z > 0.
What are the functions and classification in calculus?
1.4 Classification Of FunctionsAnalytically represented functions are either Elementary or Non-elementary.The basic elementary functions are :1) Power function :y = xm , m ÎR2) Exponential function :y = ax , a > 0 but a ¹ 13) Logarithmic function :y = log ax , a > 0, a ¹ 1 and x > 04) Trigonometric functions :y = sin x, y = cos x, y = tan x,y = csc x, y = sec x and y = cot x5) Inverse trigonometric functionsy = sin-1 x, y = cos-1x, y = tan-1x,OR y = cot-1x, y = cosec-1x, y = sec-1x.y = arc sin x, y = arc cos x, y = arc tan xy = arc cot x, y = arc csc x and y = arc sec x
What is the period of tan x?
The period of the function y= tan(x) is pie The periods of the functions y= cos(x) and y= sin(x) is 2pie
What is the period of tan?
The period of the function y= tan(x) is pie The periods of the functions y= cos(x) and y= sin(x) is 2pie
How do you calculate x in 1 divided by x without using special calulator functions?
1/x = y x = 1/y
What are the characteristics of some of the basic parent functions?
Basic parent functions are the simplest forms of functions from which more complex functions can be derived. They include linear functions (y = x), which have a constant rate of change and a straight line graph; quadratic functions (y = x²), which produce a parabolic curve; absolute value functions (y = |x|), characterized by a V-shaped graph; and exponential functions (y = a^x), which exhibit rapid growth or decay. Each parent function has distinct characteristics, such as symmetry, intercepts, and end behavior, that define its shape and behavior on a graph.
How are the graphs of inverse functions symmetric?
symmetric about the y-axis symmetric about the x-axis symmetric about the line y=x symmetric about the line y+x=0
Do functions always have x and y Intercepts?
the x is dependent and the y is independent and the x numbers cant repeat themself and yes they do have intercepts
How would you graph x 2?
y = X^2 Is this what you mean? functions are y values when x = 1; y =1 when x = -1; y = 1 when x = 2; y = 4 when x = -2; y = 4 when x = 3; y = 9 when x = -3; y = 9 get it? A upward opening parabola with its vertex at the origin.
What are the inverses of hyperbolic functions?
If f(x)=y, then the inverse function solves for y when x=f(y). You may have to restrict the domain for the inverse function to be a function. Use this concept when finding the inverse of hyperbolic functions.
What are the graphs of the inverse trigonometry functions?
If you reflect a function across the line y=x, you will have a graph of the inverse. For trigonometric problems: y = sin(x) has the inverse x=sin(y) or y = sin-1(x)
