BM 2 Review

Front

What is the definition of a function?

Back

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

Front

What does the notation f(x) represent?

Back

f(x) represents the output of the function f for the input x.

Front

How do you find the rate of change of a function?

Back

The rate of change of a function is found by calculating the difference in output values divided by the difference in input values, often expressed as \( \frac{f(b) - f(a)}{b - a} \).

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 (f(x) values) that the function can produce.

Front

If f(x) = 2x + 3, what is f(5)?

Back

f(5) = 2(5) + 3 = 13.

Front

What is the slope of the line represented by the equation y = mx + b?

Back

The slope (m) represents the rate of change of y with respect to x.

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 f(x) = mx + b.

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the input value into the function's equation.

Front

What is the significance of the y-intercept in a linear function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis, represented by the value of b in the equation y = mx + b.