Function Notation

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols, typically written as f(x), where f is the name of the function and x is the input variable.

Front

How do you evaluate a function at a specific value?

Back

To evaluate a function at a specific value, substitute the value into the function's equation and simplify.

Front

Given h(x) = -9x + 5, find h(8).

Back

h(8) = -67.

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

Which graph represents a function?

Back

A graph represents a function if it passes the vertical line test, meaning no vertical line intersects the graph at more than one point.

Front

If f(x) = -4x - 5, what is f(1)?

Back

f(1) = -9.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line, typically in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

Complete the function notation: f(____) = 214.

Back

f(1990) = 214.

Front

If f(x) = x + 3, find x when f(x) = 8.

Back

x = 5.

Front

What is the slope of the function f(x) = 2x + 1?

Back

The slope is 2.