In this video lesson we will learn how to evaluate functions using function notation , as well as, how to interpret function notation. We will learn that function notation is a way to name functions to help us differentiate one function...

In this math video we will find the first four terms of an arithmetic sequence using function notation. We will be given the equation in function notation representing an arithmetic sequence and asked to evaluate the function for values...

Define Operations of Function Notation

In this video, the teacher explains the concept of f of x and how to represent it graphically. They discuss function notation, the difference between multiplication and function evaluation, and how to plot points on the graph of a...

In this video, the teacher explains how to use function notation to evaluate functions and determine output values. They provide examples of using numerical inputs, expressions, and even other functions as inputs.

This video explains how to evaluate functions written in function notation by substituting specific domain values. It discusses the concept of relations and functions and show examples of determining if a relation is a function or not....

Pupil outcome: I can fluently move between function notation and the function it represents, including when the function has been altered. Key learning points: - Changing the function changes what it represents - The change in notation...

Pupil outcome: I can write a composite function both numerically and algebraically. Key learning points: - Using function notation, you can write a composite function. - Function notation can be replaced with the algebraic form. - An...

👉 Learn how to evaluate inverse trigonometric functions. The inverse trigonometric functions are used to obtain theta, the angle which yielded the trigonometric function value. It is usually helpful to use the calculator to calculate the...

Master Evaluating a Function for given Values

👉 Learn how to evaluate a piecewise function. A piecewise function is a function which uses different rules for different intervals. When evaluating a piecewise function, pay attention to the constraints of each function as you can only...

👉 Learn how to evaluate a function and for any given value. For any function, f(x) x is called the input value or the argument of the function. To evaluate a function, all we have to do is to change the argument of the function from x to...

Evaluate Operations of Functions

How to compose functions

👉 Learn how to evaluate the inverse of reciprocal trigonometric functions. Recall that the reciprocal trigonometric functions are given by the ratio of 1 and the corresponding trigonometric function. When an angle is unknown but the...

👉 Learn how to evaluate the inverse of reciprocal trigonometric functions. Recall that the reciprocal trigonometric functions are given by the ratio of 1 and the corresponding trigonometric function. When an angle is unknown but the...

👉 Learn how to add or subtract two functions. Given two functions, say f(x) and g(x), to add (f+g)(x) or f(x) + g(x) or to subtract (f - g)(x) or f(x) - g(x) the two functions we use the method of adding/subtracting algebraic expressions...

👉 Learn how to graph piecewise functions. A piecewise function is a function which have more than one sub-functions for different sub-intervals(sub-domains) of the function's domain. To graph a piecewise function, we graph the different...

Master evaluating the composition of two functions

Learn how to compose two linear functions. To compose two functions means to express one of the functions as a function of the other function. This is done by replacing the input variable of one of the functions with the value of the...

Learn how to compose two functions where one is a rational function and the other is a radical function. To compose two functions means to express one of the functions as a function of the other function. This is done by replacing the...

👉 Learn how to evaluate the limit of a function using the difference quotient formula. The difference quotient is a measure of the average rate of change of the function over an interval, h. The limit of the difference quotient gives the...

👉 Learn about the limit of a function. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The limit of a function is said to exist if the...

👉 Learn how to evaluate the limit of a function using the difference quotient formula. The difference quotient is a measure of the average rate of change of the function over an interval, h. The limit of the difference quotient gives the...