Exit Ticket: IM2 U1 L1 & 2

Front

What is the explicit equation for a linear function?

Back

An explicit equation for a linear function is in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What identifies a function as linear?

Back

A function is identified as linear if it has constant first differences.

Front

What is a recursive equation?

Back

A recursive equation defines the terms of a sequence using previous terms, typically in the form f(n) = f(n-1) + k.

Front

What type of function does a table represent if it has constant second differences?

Back

If a table has constant second differences, it represents a quadratic function.

Front

What are first differences in a function?

Back

First differences are the differences between consecutive outputs (y-values) of a function.

Front

What are second differences in a function?

Back

Second differences are the differences of the first differences, used to determine the type of polynomial function.

Front

What is the general form of a quadratic function?

Back

The general form of a quadratic function is f(x) = ax^2 + bx + c, where a, b, and c are constants.

Front

How do you find the slope of a linear function?

Back

The slope of a linear function can be found by calculating the change in y over the change in x (rise/run).

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept represents the value of y when x is 0 in the equation of a linear function.

Front

What is the difference between linear and quadratic functions?

Back

Linear functions have a constant rate of change (first differences), while quadratic functions have a variable rate of change (second differences).