Function Notation Review

If f(x) = 2x + 1, what is f(1)?

• f(1) = 2

• f(1) = 4

• f(1) = 3

• f(1) = 1

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's output as a percentage.

What is a linear function?

• A function that graphs to a straight line, typically in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

• A function that has a constant rate of change and can be represented by a quadratic equation.

• A function that produces a curve when graphed, such as f(x) = x^2.

• A function that does not have a defined slope and cannot be represented graphically.

What does it mean to substitute a value into a function?

• It means to ignore the variable in the function's equation.

• It means to replace the variable in the function's equation with that value to find the output.

• It means to add the value to the function's equation without changing the variable.

• It means to multiply the variable by the value to get the output.

How do you evaluate a function at a specific point?

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

• 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 difference between independent and dependent variables in a function?

• The independent variable is the output (f(x) or y), while the dependent variable is the input (x).

• The independent variable is the input (x), while the dependent variable is the output (f(x) or y) that depends on the input.

• Both independent and dependent variables are the same and can be interchanged.

• The independent variable is a constant, while the dependent variable varies with time.

What is the output of a function?

• The value that results from substituting an input into the function.

• The input value provided to the function.

• The function's name or identifier.

• The type of data the function can process.

If f(x) = -3x + 3, what is f(0)?

• f(0) = 0

• f(0) = 1

• f(0) = 2

• f(0) = 3

What does g(x) = 3x + 1 represent?

• A quadratic function with a vertex at (1, 3)

• A linear function where the slope is 3 and the y-intercept is 1.

• A constant function with a value of 4

• An exponential function that grows rapidly.

What is the y-intercept of a function?

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

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

• The maximum value of the function.

• The minimum value of the function.