Functions, Functions, Functions!

What is a quadratic function?

• A polynomial function of degree 1

• A polynomial function of degree 2, typically in the form f(x) = ax^2 + bx + c.

• A linear function represented by a straight line

• A function that has no real roots

What is a linear function?

• A function that graphs to a straight line and can be expressed in the form f(x) = mx + b.

• A function that graphs to a curve and can be expressed in the form f(x) = ax^2 + bx + c.

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

• A function that does not have a constant rate of change and can be expressed in the form f(x) = sin(x).

What is a function?

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

• A function is a type of variable that can hold multiple values.

• A function is a mathematical operation that only applies to integers.

• A function is a graphical representation of data points.

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

• The y-intercept is the point where the graph of the function crosses the y-axis, representing the output when the input is zero.

• The y-intercept indicates the slope of the function at any point on the graph.

• The y-intercept is the maximum value of the function on the graph.

• The y-intercept shows the rate of change of the function over time.

What is the inverse of a function?

• A function that has the same inputs and outputs.

• A function that reverses the roles of inputs and outputs, denoted as f^(-1)(x).

• A function that only applies to linear equations.

• A function that is always increasing.

What is the vertical line test?

• A method to determine if a curve is a function by checking if any vertical line intersects the curve at more than one point.

• A technique used to find the area under a curve.

• A way to measure the slope of a curve at a given point.

• A test to determine if a curve is symmetrical about the y-axis.

Is the mapping (2,3), (3,4), (2,5) a function?

• Yes, it is a function.

• Not a Function (the input 2 maps to two different outputs: 3 and 5).

• Yes, each input maps to a unique output.

• Not a Function (the input 3 maps to two different outputs: 4 and 5).

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

• 5

• 6

• 7

• 8

What is the range of a function?

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

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

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

• The slope of the function at a given point.

Identify the function from the following sets: (1,2), (2,3), (3,4), (1,5)

• A function

• Not a Function (the input 1 maps to two different outputs: 2 and 5)

• A one-to-one function

• A linear function