Evaluate Functions

Front

What is a function in mathematics?

Back

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

Front

What does the notation f(x) represent?

Back

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

Front

How do you evaluate a function at a specific point?

Back

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

Front

What is the slope-intercept form of a linear function?

Back

The slope-intercept form of a linear function is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the y-intercept of the function f(x) = 3x - 8?

Back

The y-intercept is -8, which is the value of f(0).

Front

How do you find the x-intercept of a function?

Back

To find the x-intercept, set the output of the function (f(x)) to zero and solve for x.

Front

What is the x-intercept of the function f(x) = 3x - 8?

Back

The x-intercept is approximately 2.67, found by solving 3x - 8 = 0.

Front

What is the domain of the function f(x) = 3x - 8?

Back

The domain of f(x) = 3x - 8 is all real numbers, as there are no restrictions on x.

Front

What is the range of the function f(x) = 3x - 8?

Back

The range of f(x) = 3x - 8 is also all real numbers, as the function can take any value.

Front

What does it mean for a function to be linear?

Back

A function is linear if it can be graphically represented as a straight line, which means it has a constant rate of change.