Function Notation Practice

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

What does it mean for a graph to pass the vertical line test?

Back

A graph passes the vertical line test if no vertical line intersects the graph at more than one point, indicating that each input has exactly one output.

Front

Given f(x)=2x+1, what is f(3)?

Back

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

Front

How do you find the value of x when f(x)=16 for f(x)=2x+1?

Back

Set 2x + 1 = 16, then solve for x: 2x = 15, x = 15/2.

Front

What is the output of g(x)=√(x-7) when x=8?

Back

g(8) = √(8-7) = √1 = 1.

Front

What does it mean if a function has no solution?

Back

It means that there is no value of the input that satisfies the function's equation.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What is a linear function?

Back

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

Front

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

Back

The slope of the line is 2, indicating that for every unit increase in x, f(x) increases by 2.