Function Notation

What does it mean if a function is linear?

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

• A linear function is a function that varies quadratically and can be represented by a parabolic curve.

• A linear function is a function that has no slope and is represented by a horizontal line.

• A linear function is a function that oscillates between two values and is represented by a sine wave.

What is a y-intercept?

• The point where the graph crosses the x-axis.

• The point where the graph crosses the y-axis, occurring when x = 0.

• The slope of the graph at x = 0.

• The maximum value of the function.

How do you evaluate a function at a specific point?

• Substitute the value of the input variable into the function's equation and simplify.

• Multiply the function by the input variable.

• Add the input variable to the function's equation.

• Differentiate the function with respect to the input variable.

What is the range of a function?

• The set of all possible input values (x-values) that the function can accept.

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

• The difference between the maximum and minimum values of the function.

• The average of all output values (y-values) produced by the function.

What is the significance of the inequality in the range of a function?

• It determines the domain of the function.

• It indicates the limits of the output values, showing which values are included or excluded from the range.

• It helps in finding the derivative of the function.

• It specifies the type of function being used.

How can you represent a function graphically?

• By plotting its input-output pairs on a coordinate plane, with the x-axis representing the input and the y-axis representing the output.

• By drawing a straight line through the origin.

• By using a table of values without any graphical representation.

• By creating a pie chart to show the function's outputs.

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

• Set the output (y) to zero and solve for the input (x).

• Find the maximum value of the function.

• Calculate the derivative of the function.

• Evaluate the function at x = 0.

What is function notation?

• 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.

• Function notation is a method to calculate the derivative of a function.

• Function notation is a graphical representation of a function on a coordinate plane.

• Function notation is a way to express a function as a polynomial equation.

What is the domain of a function?

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

• The set of all possible output values (y-values) of the function.

• The maximum value that a function can take.

• The minimum value that a function can take.

How do you interpret the results of evaluating a function?

• Understanding the output value in the context of the problem being modeled.

• Calculating the derivative of the function.

• Finding the maximum value of the function.

• Determining the domain of the function.