AFDA Analyzing Graphs of Quadratic Functions

AFDA Analyzing Graphs of Quadratic Functions

Multiple Choice

The shape of the graph of a quadratic function is called a ____________.

• Parabola

• Hyperbola

• Wave

• Cycle

Multiple Choice

All Quadratic Functions have the same domain. What is that domain?

• $$y\ge0$$  

• $$x\ge0$$  

• All Real Numbers

• No Solution

Multiple Choice

What is the domain of the Quadratic Function shown?

• $$y\le4$$  

• $$x\le4$$  

• All Real Numbers

• x is between -5 and 1

​Domain of a Function

​All possible values that x can be in the graph.

​

​The graph shown keeps going to the left and down... and to the right and down.

​

​This means that eventually ALL x-values will eventually get used in this graph if we keep going. This is why the domain is always "All Real Numbers."

Multiple Choice

True or False? For the graphs of Quadratic Functions, the RANGE is the same for all of them.

• True

• False

Multiple Select

Look at the graph shown. Which y values ARE NOT ever going to be used in this graph?

• The negative y values

• The positive y values

• The y values below the x axis.

• $$y=0$$  

Multiple Choice

What is the range of the Quadratic Function shown?

• $$y\ge0$$  

• $$y<0$$  

• All Real Numbers

• y is between 0 and 5

Multiple Choice

What is the range of the Quadratic Function shown?

• $$y>4$$  

• $$y\le4$$  

• All Real Numbers

• y is between 3 and 4

Multiple Choice

True or False? The RANGE of a quadratic function will never be "All Real Numbers"

• True.

• False.

​Range of a Function

​All possible values that y can be in the graph.

​

​The graph shown keeps going to the left and down...

​... and to the right and down.

​

​There are NO points on the graph above y = 4. Therefore the range of this graph is 

Multiple Choice

What is the DOMAIN of the Quadratic Function shown?

• $$y\ge0$$  

• $$x\ge0$$  

• All Real Numbers

• x is between 0 and 6

Multiple Choice

What is the RANGE of the Quadratic Function shown?

• $$y\ge0$$  

• $$x\ge0$$  

• All Real Numbers

• y is between 0 and 6

​X-Intercepts

​X-intercepts are the points where the graph of the function crosses the x-axis.

​

X-intercepts also called the "zeros," "roots," or "solutions" of a function.

​

​Example: What are the solutions of the graph shown?

​Answer: x = -5 and x = -1

Multiple Select

X-intercepts are also called....?

• Zeros

• Roots

• Solutions

• the points where the graph crosses the x-axis

Multiple Select

What is/are the ROOT(S) of the graph shown?

• -3

• -1

• 0

• 1

• -4