Points to Ponder - Humble Independent School District
Points to Ponder
Can YOU without the use of a calculator:
1. Write the radical function given the description that may include any of the following—horizontal/vertical translation, horizontal/vertical stretch or shrink, reflection across the x axis or y axis.
2. Graph a radical equation on a coordinate plane and state the domain/range. EX1
3. Graph a radical inequality on a coordinate plane and state the domain/range.EX2
Can YOU with the aid of a calculator where appropriate:
1. Solve a radical equation. Show all work and note any extraneous solutions. Remember IRS Check!
2. Solve a radical inequality stating the answer in interval notation. Remember that the inequality must be true AND the radical must be defined (i.e. radicand greater than or equal to zero). EX 3 & 4
3. Use data points to develop the quadratic model.
4. Analyze the quadratic model and explain the results.
5. Solve applications that involve quadratic equations.
6. Use the calculator to approximate zeros.
7. Determine if a data set represents a quadratic function by looking at second differences.
Example 1
Graph f(x) = [pic]
Move 6 left.
Domain [pic]
Range [pic]
Example 2
Graph [pic]
Move 5 to the right
Domain [pic]
Range [pic]
Example 3
Solve [pic]
[pic]
We want a negative product so we graph the pink shaded area. However, the radicand of 5x-4 must be defined (i.e. [pic]0). Therefore, solve
[pic] [pic] shaded in green
Notice that in order for [pic] AND in the pink area, then our answer is [pic].
Example 4
[pic] pink
[pic] green.
Therefore, our answer is what is shaded in BOTH pink and green. [pic]
DON’T FORGET TO STUDY THE SOLUTIONS TO WORKSHEETS 5-6 AND 5-8!
-----------------------
[pic]
[pic]
1
4
- -
+
- +
-
+ +
+
[pic]
5
[pic]
................
................
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