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Tangent Function Graph

"For a tangent function graph, create a table of values and plot them on the coordinate plane. Since tan(theta)=y/x, whenever x=0 the tangent function is undefined (dividing by zero is undefined). Th ...

Graphing Quadratic Inequalities

"Solving a quadratic inequality by graphing is not difficult if you remember the basics of graphing a quadratic equation. When graphing quadratic inequalities, first graph the quadratic equation ...

Graph Symmetry

"There are special types of functions that have graph symmetry. The most notable types are even and odd functions. Even functions have graph symmetry across the y-axis, and if they are reflected, will ...

Graph Shifts

Hipervinculo Matemáticas

Graph Shifts

"Horizontal and vertical graph shifts occur in a graph when the graph either moves up and down on the y-axis or side-to-side on the x-axis. When a graph shifts, the vertex simply moves position but th ...

Graph Dilations

"When graphing parabolas and other functions, there are certain types of graph dilations that help us graph and explore parabolas more efficiently. When graphing parabolas, dilations occur when the "a ...

Sine and Cosine Graphs

"Sine and cosine are periodic functions, which means that sine and cosine graphs repeat themselves in patterns. You can graph sine and cosine functions by understanding their period and amplitude. ...

Determining Whether a Relation is a Function

"Understanding relations (defined as a set of inputs and corresponding outputs) is an important step to learning what makes a function. A function is a specific relation, and determining whether a rel ...

Rational Function Graph

"There are different characteristics to look for when drawing a rational function graph. With a rational function graph where the degree of the numerator function is greater than the degree of denomin ...

Cotangent Graph

"Cotangent is the reciprocal trig function of tangent function and can be defined as cot(theta)=cos(theta)/sin(theta). It is an odd function, meaning cot(-theta)=-cot(theta), and it has the property ...

Polar Curves

Hipervinculo Matemáticas

Polar Curves

"Recognizing certain special polar curves can help us graph them or derive their equations. Circles, cardioids and limacon are all from the same family of polar curves. Other families include roses an ...

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