Intro to Functions Review

Front

What is a function?

Back

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

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

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 it represents a function.

Front

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

Back

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

Front

What is an example of a function?

Back

An example of a function is f(x) = x^2, where each x-value has one corresponding y-value.

Front

What is the output of the function y = 5x - 1 when x = 3?

Back

y = 5(3) - 1 = 14.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b.

Front

What is the slope in the function y = mx + b?

Back

The slope (m) represents the rate of change of the function, indicating how steep the line is.

Front

What is the y-intercept in the function y = mx + b?

Back

The y-intercept (b) is the point where the line crosses the y-axis (when x = 0).