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
Yes, a piecewise graph can represent a function as long as each piece of the graph passes the vertical line test, meaning that each vertical line intersects the graph at most once. This ensures that each input has exactly one output value.
A graph is a function if every input (x-value) corresponds to only one output (y-value). One way to check for this is to perform the vertical line test: if a vertical line intersects the graph at more than one point, the graph is not 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.
Vertical transformations involve shifting the graph up or down, affecting the y-values, while horizontal transformations involve shifting the graph left or right, affecting the x-values. Vertical transformations are usually represented by adding or subtracting a value outside of the function, while horizontal transformations are represented by adding or subtracting a value inside the function.
The number of boxes on graph paper depends on the size and dimensions of the paper. A standard grid paper may have 4 squares per inch, resulting in 16 boxes per square inch. However, larger grid papers may have more boxes.
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.
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]
It can be.
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.