Want to avoid your Year 11 Maths Advanced progress looking like a Piecewise Function? This is denoted by using a closed or open circle as you would have done when graphing inequalities on a number line. It is important to indicate which point is a part of the function, and which is not, as we cannot have multiple \(y\) values for the same \(x\) value (a piecewise function is still a function). Displaying all worksheets related to - Evaluating Piecewise Functions. Equation of the pieces Domain for the pieces. Sketch each function in their respective domains, and you have sketched the piecewise function!Īn important feature to note is the discontinuity, where the different parts of the function do not meet each other, as at \(x = 0\) in our example. ALGEBRAICALLY Use the picture of the piecewise function to answer the following.
#EVALUATING PIECEWISE FUNCTIONS WORKSHEET HOW TO#
These are all simple functions and should be recognised as a parabola and \(2\) straight lines, which we already know how to sketch. \(y = 3\) when \(x\) is between \(0\) and \(3\)Īnd now we have \(3\) functions defined over \(3\) separate domains. This may look complicated, but like our first example we can break this down to: Sketching piecewise functions can similarly be made quite easy by considering it as sketching multiple separate functions.Īs an example, we will go through the process of sketching: This is illustrated by the discontinuity in the next section. The simplest example to illustrate this is the absolute value function, defined by: Students should already be familiar with function notation, domain and range, inequalities and evaluating and sketching polynomials.ĭefinition and Evaluating Piecewise FunctionsĪ piecewise function is a function defined separately for different intervals of \(x\) – values (different domains). Solve practical problems involving a pair of simultaneous linear and/or quadratic functions algebraically and graphically, with or without the aid of technology including determining and interpreting the break-even point of a simple business problem.Worksheet: Piecewise Functions Evaluate the function for the given value of x. For the most part this means performing basic arithmetic (addition, subtraction, multiplication, and division) with functions. Model, analyse and solve problems involving quadratic functions View Notes - WS Piecewise Functions.doc from ACC 13 at Far Eastern University.NESA expects students to demonstrate proficiency in the following syllabus outcomes Given two functions f (x) f ( x) and g(x) g ( x) we have the following notation and.
Lets start with basic arithmetic of functions. There is one new way of combining functions that well need to look at as well. Definition and Evaluating Piecewise Functions For the most part this means performing basic arithmetic (addition, subtraction, multiplication, and division) with functions. Browse piecewise functions worksheet resources on Teachers Pay Teachers, a marketplace trusted by millions of teachers for original educational resources.
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