LESSON 3

ELEMENTARY FUNCTIONS

"f(x) = ... " is the classic way of writing a function. And there are other ways, as you will see!

Q2

Q3

Q1

TEST - WHAT HAVE I LEARNED

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Q5

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Q10

A linear function is of the form f(x) = mx + b where 'm' and 'b' are real numbers.

Types of functions

A quadratic function is a polynomial function with one or more variables in which the highest exponent of the variable is two.

The definition of inverse proportion states that "Two quantities are said to be in inverse proportion if an increase in one leads to a decrease in the other quantity and a decrease in one leads to an increase in the other quantity".

A radical function is any function that is defined in a root. This function also contains a square root, cubed roots, or any of the nth root.

An absolute value function is an important function in algebra that consists of the variable in the absolute value bars.

A piecewise function is a function with multiple pieces of curves in its graph. It means it has different definitions depending upon the value of the input. i.e., a piecewise function behaves differently for different inputs.

radical

inverse proportion

quadratic

linear

Associate the graphs with the equations above

EXERCISES

Obtain the analytical expressions of the following piecewise functions

Associate the graphs with the equations above

Function transformation

check your knowledge

Domain

EXTRA WORK

with square roots, logarithms, like this one

and some other combinations that will be written on the blackboard . . .

Find the domain of the following functions:

Google images https://www.mathsisfun.com/sets/function.html https://www.mathsisfun.com/sets/set-builder-notation.html https://www.highermathematics.co.uk/domain-restrictions/ https://www.math-exercises.com/analysis-of-functions/domain-of-a-function https://www.cuemath.com/calculus/linear-functions/ https://www.cuemath.com/calculus/quadratic-functions/ https://www.cuemath.com/commercial-math/inverse-proportion/ https://www.cuemath.com/algebra/absolute-value-function/ https://www.cuemath.com/calculus/piecewise-function/ https://www.cuemath.com/calculus/transformation-of-functions/

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