Functions Test Review

Front

What is a function?

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

Which of the following sets of values is a function? (9,5) (10,5) (9,-5) (10,-5), (3,4) (4,-3) (7,4) (3, 8), (6,-5) (7, -3) (8, -1) (9, 1), (2, -2) (5, 9) (5, -7) (1, 4)

Back

(6,-5) (7, -3) (8, -1) (9, 1) is a function because each first element (x-value) is unique.

Front

How can you determine if a graph represents a nonlinear function?

Back

A graph represents a nonlinear function if it is a curve.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

Is the relation represented by the graph a function? (yes/no)

Back

Answer: no, if a vertical line intersects the graph at more than one point.

Front

Is this graph a function or not a function? (Function/Not a Function)

Back

Function, if each x-value has exactly one corresponding y-value.

Front

What is the slope of a linear function?

Back

The slope of a linear function is the rate of change of y with respect to x, often represented as 'm' in the equation y = mx + b.

Front

Consider the linear function y = 2x + 3. What is its slope?

Back

The slope is 2.

Front

Given the table: x | y 0 | 1 1 | 4 2 | 7, what is the slope of the function represented by this table?

Back

The slope is 3, calculated as (4-1)/(1-0) = 3.

Front

Which function has a greater slope: y = 2x + 3 or the function represented by the table?

Back

The table function has a greater slope.