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# Apex 2.2.3 Quiz Graphing Functions

Created by
@KeenMaxwell9176

### Which of the following best describes the graph (it's a circle on a graph that hits all fours)?

• It is not a function (correct)
• It is a linear function
• It is a function
• It is a quadratic function
• ### What statement best describes the function f(x)=2x^3+2x^2-x?

It is a one-to-many function.

less than

### Which of the following functions is graphed below (it's an open dot at (2,10) and closed dot at (2,5)?

<p>Y={x^3-3, x&lt;2}</p> Signup and view all the answers

### Using the graph below, select all the statements that are true (has lines at every number with a filled and open dot).

<p>f(-3.4)=-4</p> Signup and view all the answers

### What is f(1) and f(-1) for the function f(x)={-x+1, x<0}?

<p>f(1)=0, f(-1)=2</p> Signup and view all the answers

### Which equation matches the graph of the greatest integer function given below?

<p>Y=[X]-2</p> Signup and view all the answers

### Which of the following function is graphed below?

<p>Y={X^2+4, x&gt;2}</p> Signup and view all the answers

### WHICH OF THE FOLLOWING FUNCTIONS IS GRAPHED BELOW (-6,-4)?

<p>Y=|X+3|-4</p> Signup and view all the answers

## Study Notes

### Graph Characteristics and Functions

• A circle on a graph that intersects all four quadrants is not classified as a function due to the vertical line test.
• The function ( f(x) = 2x^3 + 2x^2 - x ) is identified as one-to-many, indicating multiple outputs for a single input.

### Greatest Integer Function

• The greatest integer function delivers the greatest integer less than or equal to ( x ).
• The graph representation includes both open and closed dots, indicating the values that are included or excluded from the function.

### Specific Function Evaluations

• For the function defined as ( f(x) = {-x+1, x < 0} ), specific evaluations yield ( f(1) = 0 ) and ( f(-1) = 2 ).
• The representation ( Y = [X] - 2 ) corresponds to the graph of the greatest integer function.

### Function Graph Interpretation

• A function graphed with an open dot at (2,10) and a closed dot at (2,5) suggests the function ( Y = {x^3 - 3, x \leq 2} ), where the inequality features a line beneath it.
• Another function ( Y = {X^2 + 4, x \geq 2} ) also features a line under the inequality symbol.

### Evaluating Graphs

• The graph exhibiting lines at every integer with filled and open dots exemplifies the greatest integer function.
• A function represented as ( Y = |X + 3| - 4 ) can be identified by analyzing the coordinates, particularly (-6, -4).

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## Description

Test your knowledge on graphing functions with this quiz focused on understanding various functions and their characteristics. Each flashcard presents a question about graph properties, continuity, and types of functions. Perfect for students wanting to solidify their grasp of graphing concepts.

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