Apex 2.2.3 Quiz on Graphing Functions

Questions and Answers

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.

The greatest integer function shown below is defined so that it produces the greatest integer ______ or equal to x.

less than

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

Y={x^3-3, x<2} 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).

f(-3.4)=-4 Signup and view all the answers

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

f(1)=0, f(-1)=2 Signup and view all the answers

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

Y=[X]-2 Signup and view all the answers

Which of the following function is graphed below?

Y={X^2+4, x>2} Signup and view all the answers

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

Y=|X+3|-4 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).

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.