D&R; Inc & Dec Quadratics Review

Reviewing:
Domain & Range Intervals of Inc. & Dec.

You will review and practice these two specific skills for quadratics

Intervals of Increase and Decrease

Multiple Choice

Which of the following is the axis of symmetry for the given graph?

• $$x=-4$$

• $$2$$

• $$-4$$

• $$y=-4$$

Hotspot

Great! Now which side of the function is increasing as we follow the graph from left to right -->

Drag and Drop

Now focusing on ONLY this side of the graph, when is the function increasing (always use the x-values)?

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Drag these tiles and drop them in the correct blank above

Hotspot

Great! Now which side of the function is decreasing as we follow the graph from left to right -->

Drag and Drop

Now focusing on ONLY this side of the graph, when is the function decreasing? (always use the x-values)

(​

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Drag these tiles and drop them in the correct blank above

Multiple Choice

Which of the following is the axis of symmetry for the given graph?

• $$4$$

• $$x=4$$

• $$x=2$$

• $$y=-2$$

Hotspot

Which side of the function is increasing as we read from left to right?

-->

Drag and Drop

Now focusing on ONLY that side of the graph, when is the function increasing? (Cover up the graph with your hand if you need to)

(​

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Drag these tiles and drop them in the correct blank above

Hotspot

Which side of the function is decreasing as we read from left to right?

-->

Drag and Drop

Now focusing on ONLY that side of the graph, when is the function decreasing? (Cover up the graph with your hand if you need to) Look at the x-axis only

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Drag these tiles and drop them in the correct blank above

Multiple Choice

Which of the following is the axis of symmetry for the following graph?

• $$x=-2$$

• $$x=-3$$

• $$-2$$

• $$-3$$

Hotspot

Choose the side that is increasing from left to right -->

Drag and Drop

When is the function increasing?

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Drag these tiles and drop them in the correct blank above

Hotspot

Choose the side that is decreasing from left to right -->

Drag and Drop

When is the function decreasing?

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Drag these tiles and drop them in the correct blank above

Domain & Range

Dropdown

The domain of a function is all possible​ ​

Select answer

and the range of a function is is all possible ​

Select answer

Hotspot

When looking at the domain, choose the axis to look at:

​The domain of a quadratic function...

Hotspot

When looking at the range, choose the axis to look at:

will change depending on the vertex of the graph. To find the range, start at the bottom of the graph and move up until the function ends.

​The range of a quadratic function...

Hotspot

For this graph, choose the y-value where the range begins...

Dropdown

Now, identify when the function ends on the y-axis

[1, ​

Select answer

)

Hotspot

Identify where the range BEGINS for this function:

Hotspot

Now, identify where the range ENDS for this function:

Multiple Choice

So the range for the function is:

• $$\left(-\infty,-4\right]$$

• $$\left[-4,\infty\right)$$

• $$\left(-\infty,2\right]$$

• $$\left(-\infty,4\right]$$

Multiple Choice

What is the domain of the function?

• $$\left(-\infty,2\right]$$

• $$\left(-\infty,\infty\right)$$

• $$\left[-6,-2\right]$$

• $$\left(-\infty,-4\right]$$

Multiple Choice

What is the range of the function? Look starting from the bottom to the top of the coordinate plane. When does the function start then stop?

• $$\left(-\infty,2\right]$$

• $$\left(-\infty,\infty\right)$$

• $$\left[-6,-2\right]$$

• $$\left(-\infty,-4\right]$$

Multiple Choice

What is the domain of the function?

• $$\left(-\infty,-2\right]$$

• $$\left(-\infty,\infty\right)$$

• $$\left[4,\infty\right)$$

• $$\left[-2,\infty\right)$$

Multiple Choice

What is the range of the function? Look starting from the bottom to the top of the coordinate plane. When does the function start?

• $$\left(-\infty,-2\right]$$

• $$\left(-\infty,\infty\right)$$

• $$\left[4,\infty\right)$$

• $$\left[-2,\infty\right)$$

You try on your own!

Multiple Choice

identify the interval of increase

• $$\left[2,\infty\right)$$

• $$\left(2,\infty\right)$$

• $$\left(-\infty,1\right)$$

• $$\left(1,\infty\right)$$

Multiple Choice

identify the interval of decrease

• $$\left[2,\infty\right)$$

• $$\left(2,\infty\right)$$

• $$\left(-\infty,1\right)$$

• $$\left(1,\infty\right)$$

Dropdown

Identify the interval of increase:

(​

Select answer

,​

Select answer

)

Dropdown

Identify the interval of decrease:

(​ ​

Select answer

,​

Select answer

)

Dropdown

Identify the interval of increase:

(​ ​ ​

Select answer

,​

Select answer

)

Dropdown

Identify the interval of decrease:

(​ ​

Select answer

,​

Select answer

)

Multiple Choice

What is the domain of the function?

• $$\left(-\infty,-3\right]$$

• $$\left(-\infty,\infty\right)$$

• $$\left[-2,\infty\right)$$

• $$\left[-3,\infty\right)$$

Multiple Choice

What is the range of the function?

• $$\left(-\infty,-3\right]$$

• $$\left(-\infty,\infty\right)$$

• $$\left[-2,\infty\right)$$

• $$\left[-3,\infty\right)$$

Multiple Choice

What is the domain?

• $$\left[2,\infty\right)$$

• $$\left(-\infty,\infty\right)$$

• $$\left[1,\infty\right)$$

• $$\left(-\infty,2\right]$$

Multiple Choice

What is the range?

• $$\left[2,\infty\right)$$

• $$\left(-\infty,\infty\right)$$

• $$\left[1,\infty\right)$$

• $$\left(-\infty,2\right]$$