Linear And Quadratic Functions Worksheet

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208
Linear and Quadratic Functions
2.3.1
Exercises
To see all of the help resources associated with this section, click
OSttS Chapter
2.
In Exercises
1
- 9, graph the quadratic function. Find the x- and y-intercepts of each graph, if any
exist. If it is given in general form, convert it into standard form; if it is given in standard form,
convert it into general form. Find the domain and range of the function and list the intervals on
which the function is increasing or decreasing. Identify the vertex and the axis of symmetry and
determine whether the vertex yields a relative and absolute maximum or minimum.
For help with these exercises, click on one or more of the resources below:
Graphing a quadratic function by plotting points
Graphing a quadratic function by completing the square to convert it to standard (vertex) form
Using the vertex formula
Solving a quadratic equation using the quadratic formula
Graphing a quadratic function by finding its zeros and its vertex
2
2
2
1. f (x) = x
+ 2
2. f (x) =
(x + 2)
3. f (x) = x
2x
8
2
2
2
4. f (x) =
2(x + 1)
+ 4
5. f (x) = 2x
4x
1
6. f (x) =
3x
+ 4x
7
1
2
2
7. f (x) = x
+ x + 1
8. f (x) =
3x
+ 5x + 4
10
2
9.
f (x) = x
x
1
100
For help with Exercises
10
- 24, click on the resource below:
Solving application problems involving quadratic functions
In Exercises
10
- 14, the cost and price-demand functions are given for different scenarios. For each
scenario,
• Find the profit function P (x).
• Find the number of items which need to be sold in order to maximize profit.
• Find the maximum profit.
• Find the price to charge per item in order to maximize profit.
• Find and interpret break-even points.
10
We have already seen the graph of this function. It was used as an example in Section
1.6
to show how the
graphing calculator can be misleading.

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