Evaluate Functions & Graphs

Front

What is a function?

Back

A function is a relationship between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What does it mean to evaluate a function?

Back

To evaluate a function means to find the output value for a given input value.

Front

What is the notation for a function?

Back

Functions are often written as f(x), where 'f' is the name of the function and 'x' is the input.

Front

What is the value of f(2) if f(x) = 3x + 1?

Back

f(2) = 3(2) + 1 = 7.

Front

What is the graph of a function?

Back

The graph of a function is a visual representation of the relationship between the input values (x-axis) and output values (y-axis).

Front

What does the x-axis represent in a graph?

Back

The x-axis represents the input values of the function.

Front

What does the y-axis represent in a graph?

Back

The y-axis represents the output values of the function.

Front

How do you find f(-3) if f(x) = 2x - 1?

Back

f(-3) = 2(-3) - 1 = -7.

Front

What is the slope of the line in the function f(x) = 2x + 3?

Back

The slope is 2, which means for every 1 unit increase in x, f(x) increases by 2 units.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be written in the form f(x) = mx + b.