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Given the function Fx you can get a picture of the graph of its inverse F-1y by flipping the original graph of Fx over the line?
y=x
How the Triangle ABC is shown on the graph. What are the coordinates of the image of point B after the triangle is rotated 270 and deg about the origin?
That would depend on its original coordinates and in which direction clockwise or anti clockwise of which information has not been given.
What name is given to the turning point also known as the maximum or minimum of the graph of a quadratic function?
vertex
What is the zero of a function and how does it relate to the functions graph?
A zero of a function is a point at which the value of the function is zero. If you graph the function, it is a point at which the graph touches the x-axis.
How the solution of a linear system with two equations is represented by the point where the graphs of the two equation intersect?
The first graph consists of all points whose coordinates satisfy the first equation.The second graph consists of all points whose coordinates satisfy the second equation.The point of intersection lies on both lines so the coordinates of that poin must satisfy both equations.
How can you graph the inverse of a function without finding the ordered pairs first?
To graph the inverse of a function without finding ordered pairs, you can reflect the original graph across the line ( y = x ). This is because the coordinates of the inverse function are the swapped coordinates of the original function. Thus, for every point ( (a, b) ) on the original graph, the point ( (b, a) ) will be on the graph of its inverse. Ensure that the original function is one-to-one for the inverse to be valid.
What does to graph a point mean?
Mark the position of the point on the graph according to the coordinates of the point that are given (or calculated).
When you are given a graph how can you come up with a rational function equation?
You cannot, necessarily. Given a graph of the tan function, you could not.
What is true about all coordinate points in quadrant IV of a coordinate graph?
Their first coordinates are positive and their second coordinates are negative.
How do you determine where to mark a point on the graph?
At the given coordinates where the x and y values intersect
How can you tell by looking at a graph its a function?
Draw a graph of a given curve in the xoy plane. Now draw a vertical line so that it cuts the graph. If the vertical line cuts the graph in more than one ordinate then given graph is not a function. If it cuts the graph at a single ordinate such a graph is a function.(is called vertical line test)
Is a sign graph a function?
A function must have a value for any given domain. For each edge (or interval), the sign graph has a sign (+ or -) . So, it is a function.
How do you graph and evaluate piecewise functions?
Graph each "piece" of the function separately, on the given domain.
What happens to the graph of a function when you replace x with ax?
When you replace ( x ) with ( ax ) in the function ( f(x) ), the graph of the function undergoes a horizontal scaling. If ( a > 1 ), the graph compresses towards the y-axis; if ( 0 < a < 1 ), the graph stretches away from the y-axis. The overall shape of the graph remains the same, but the x-coordinates of all points on the graph change according to the factor ( a ).
What information does the graph of a function provide with respect to the algebraic equation?
The coordinates of the points on the curve represent solutions of the equation.
What is a vertical shift?
A vertical shift is the vertical motion of a function on a graph through manipulation of the y-coordinates, while simultaneously leaving the x-coordinates unchanged. A horizontal shift is the opposite of a vertical shift, in that the function is moving horizontally by manipulating the x-coordinates and leaving the y-coordinates unchanged.
How does the graph of an exponential function differ from the graph of a linear function and how is the rate of change different?
The graph of a linear function is a line with a constant slope. The graph of an exponential function is a curve with a non-constant slope. The slope of a given curve at a specified point is the derivative evaluated at that point.
