yes
to tell a function u do the vertical line test, making sure you can only hit the graph once, anywhere on the graph
run ur finger down parallel to the y axis
The vertical line test can be used to determine if a graph is a function. If two points in a graph are connected with the help of a vertical line, it is not a function. If it cannot be connected, it is a function.
The range of a function is the set of Y values where the equation is true. Example, a line passing through the origin with a slope of 1 that continues towards infinity in both the positive and negative direction will have a range of all real numbers, whereas a parabola opening up with it's vertex on the origin will have a range of All Real Numbers such that Y is greater than or equal to zero.
In vertical transformations every point on a graph is shifted upwards by a fixed number of points. In a horizontal transformation, every point on a graph is shifted along the x-axis a certain number of points.
A bar graph or histogram would be suitable to show the distribution of ages of kids in a classroom. Each bar or column would represent a specific age group, making it easy to compare the different age ranges within the class.
Oh, dude, there are like a ton of boxes on graph paper. I mean, it totally depends on the size of the paper, right? But typically, there are like a bazillion little squares on there to help you draw your graphs and stuff. So, like, just grab a piece and start counting if you're really curious, or just trust me that there are a whole bunch.
Graph each "piece" of the function separately, on the given domain.
A piecewise function is a function defined by two or more equations. A step functions is a piecewise function defined by a constant value over each part of its domain. You can write absolute value functions and step functions as piecewise functions so they're easier to graph.
piecewise
One such function is [ Y = INT(x) ]. (Y is equal to the greatest integer in ' x ')
f is a piecewise smooth funtion on [a,b] if f and f ' are piecewise continuous on [a,b]
A piecewise function can be one-to-one, but it is not guaranteed to be. A function is considered one-to-one if each element in the domain maps to a unique element in the range. In the case of a piecewise function, it depends on the specific segments and how they are defined. If each segment of the piecewise function passes the horizontal line test, then the function is one-to-one.
A piecewise defined function is a function which is defined symbolically using two or more formulas
All differentiable functions need be continuous at least.
yes :D
Piecewise <3
for a piecewise function, the domain is broken into pieces, with a different rule defining the function for each piece
It could represent a point whose coordinates do satisfy the requirements of the function.