Mini-Flashcard Friday

Front

What is a Linear Function?

Back

A linear function is a function that creates a straight line when graphed. It has the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean for a function to be Exponential?

Back

An exponential function is a function of the form f(x) = a * b^x, where a is a constant, b is the base (a positive real number), and x is the exponent. It grows or decays at a constant percentage rate.

Front

How do you find the value of a function at a specific point?

Back

To find the value of a function at a specific point, substitute the x-value into the function's equation and solve for f(x).

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 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 slope of a linear function?

Back

The slope of a linear function is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as x increases, the value of f(x) also increases.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing if, as x increases, the value of f(x) decreases.

Front

How do you determine if a function is linear or exponential?

Back

A function is linear if it can be expressed in the form f(x) = mx + b. It is exponential if it can be expressed in the form f(x) = a * b^x.

Front

What is the y-intercept of 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 f(x) = mx + b.