Functions, Functions, Functions!

What is the slope of a line?

• The distance between two points on the line.

• The rate of change of y with respect to x, calculated as rise over run.

• The angle at which the line inclines from the horizontal.

• The length of the line segment between two points.

What is a linear function?

• A function that graphs to a straight line, typically in the form f(x) = mx + b.

• A function that has a constant rate of change and forms a curve on a graph.

• A function that can be represented by a quadratic equation.

• A function that does not change and remains constant for all values of x.

Is this graph a function or not a function?

• Function

• Not a function

• Undefined

• Linear

What is a constant function?

• A function that always returns the same value regardless of the input.

• A function that changes its output based on the input.

• A function that has no output.

• A function that is only defined for certain inputs.

What is the definition of function?

• Every input has only ONE output

• Every input can have multiple outputs

• A function is a type of variable

• Functions are only used in programming

What is x if f(x) = -1?

• 4

• 5

• 6

• 7

What is a piecewise function?

• A function that is continuous everywhere.

• A function defined by different expressions for different intervals of the domain.

• A function that can only be represented graphically.

• A function that has a single expression for all values.

What does it mean for a function to be one-to-one?

• Each output is paired with exactly one input.

• Each input is paired with multiple outputs.

• All outputs are the same for different inputs.

• There are no outputs for any inputs.

What is the range of the graph?

• -2 ≤ x ≤ 10

• 0 ≤ x ≤ 5

• -5 ≤ x ≤ 15

• -1 ≤ x ≤ 8

What is a vertical line test?

• A method to determine if a graph represents a function; if a vertical line crosses the graph more than once, it is not a function.

• A technique used to find the slope of a line on a graph.

• A way to measure the area under a curve in calculus.

• A test to check if a graph is symmetrical about the y-axis.