Warm-Up 1
Math 1 Summer Bridge
Day 4: Functions and Tables
Decide whether a relationship is a function and use function notation.
Student Goal
I can identify functions from tables, mappings, graphs, and rules.
Why It Matters
Functions are the language of Math 1. They help describe how one quantity depends on another.
Warm-Up
Warm-Up 2
True or false: One input can have two different outputs and still be a function.
Short Lesson
Standard Focus
NC.M1.F-IF.1 and NC.M1.F-IF.2: Function notation and interpretation
Student-Friendly Standard Goal
I can understand function notation and evaluate functions for inputs.
- A function assigns each input exactly one output.
- The same output can happen more than once, but one input cannot have two different outputs.
- f(x) means the output of the function when the input is x.
- Tables, graphs, equations, and situations can all represent functions.
Guided Examples
Guided Example 1
Evaluate a Function
Evaluate g(x) = -3x + 4 when x = -2.
Step 1
g(-2) = -3(-2) + 4
What is -3(-2)?
Guided Example 2
Check a Table
Decide whether the table represents a function.
Step 1
Inputs: -1, 0, 1, 2
Does any input repeat with a different output?
Practice
Problem 1
If h(x) = x^2 - 1, what is h(4)?
Problem 2
True or false: Inputs 1, 2, 3 with outputs 5, 5, 5 can be a function.
Problem 3
Which set is not a function?
Problem 4
If f(x)=5x, find f(6).
Problem 5
Choose the next step to evaluate p(-3)=2(-3)^2+1.
Reflection
How are you feeling about today's skill?
Optional reflection: What is one step, word, or representation from today that you want to remember when Math 1 starts?