Piecewise functions are solved by graphing the various pieces of the function separately. This is done because a piecewise function acts differently at different sections of the number line based on the x or input value.
Continue ReadingThe function should be analyzed to determine the nature of the various pieces.
Step 1: Determine the value
Determine the value where x will be equal for all the pieces. This will be the dividing line between the different lines that represent the various pieces.
Step 2: Graph
Graph the various pieces in their own area of the number line.
Step 3: Solve
Solve for specific values by locating them on the graph.
Learn more about CalculusThe abbreviations "sin," "cos," "tan," "csc," "sec" and "cot" stand for the six trigonometric functions: sine, cosine, tangent, cosecant, secant and cotangent. Each function represents a particular relationship between the measure of one of the angles and the ratio between two sides of a right triangle.
Full Answer >In calculus, critical points or stationary points are any values of differentiable functions of complex or real variables whose derivative is 0, f(x0) = 0. In a differentiable function that has several real variables, critical points are values in the domain where the partial derivatives are 0. The values of critical points are known as critical values.
Full Answer >Lamar University explains that a gradient vector field is a directional derivative that represents the change in the gradient of a function. Gradient fields are known as conservative fields since they depend only on the beginning point and the end point of the vector while ignoring the path taken by the vector. Another term for gradient vector fields is path-independent vectors.
Full Answer >A polynomial function is any function that contains more than one monomial, with non-negative exponents, and only contains addition, subtraction, multiplication or division operations. A monomial is a single term consisting of a coefficient and variable, even if the coefficient is one or the variable is 0 and isn't written explicitly.
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