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Common Core (Functions)

Common Core for Mathematics

Examples, solutions, videos, and lessons to help High School students learn how to use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.

Common Core: HSF-IF.A.2

### Function Notation & Function Values

Using Function Notation - What is f(x)?

What is f(x)? It is a different way of writing "y" in equations, but it's much more useful.**Function Notation**

This lesson introduces function notation and provides several examples of determining function values.

Examples:

1. Given f(x) = x^{2} - 5x + 6

find f(4), f(-3)

2. Given g(t) = -t^{2} + 2t - 12

find g(-3), g(3x)

3. Given h(y) = 2y^{2} - y + 7

find h(m - 2)

**Find the Linear Function Given Two Function Values in Function Notation**

This video introduces how function values in function notation gives points on the graph which can be used to determine the equation of the linear function.

Example:

Determine the equations of the linear function given

f(-1) = -7 and f(2) = -2**Determine Function Values Using Function Notation on the TI84**

This video provides two examples of how to determine function values using function notation on the TI84 graphing calculator. The results are verified graphically.

Example:

Given f(x) = -2x^{2} + 3x + 7, find the following function values using your graphing calculator.

f(-1) and f(3/4)

**Function Notation Application**

This video provides an example of how to express given information using function notation.

**Function Notation Application Problem**

This video provides two examples of how a function value expressed using function notation can be used to express a real life problem.### Operations on Function

Operations on functions.

What the function notation looks like?

How to add, subtract, multiply and divide functions?

**Function Operations**

Adding, subtracting, multiplying and dividing functions.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

Common Core (Functions)

Common Core for Mathematics

Examples, solutions, videos, and lessons to help High School students learn how to use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.

Common Core: HSF-IF.A.2

What is f(x)? It is a different way of writing "y" in equations, but it's much more useful.

This lesson introduces function notation and provides several examples of determining function values.

Examples:

1. Given f(x) = x

find f(4), f(-3)

2. Given g(t) = -t

find g(-3), g(3x)

3. Given h(y) = 2y

find h(m - 2)

This video introduces how function values in function notation gives points on the graph which can be used to determine the equation of the linear function.

Example:

Determine the equations of the linear function given

f(-1) = -7 and f(2) = -2

This video provides two examples of how to determine function values using function notation on the TI84 graphing calculator. The results are verified graphically.

Example:

Given f(x) = -2x

f(-1) and f(3/4)

This video provides an example of how to express given information using function notation.

This video provides two examples of how a function value expressed using function notation can be used to express a real life problem.

What the function notation looks like?

How to add, subtract, multiply and divide functions?

Adding, subtracting, multiplying and dividing functions.

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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