Name__________________________________________________________________ Date___________________________________ Period_______

Topic 13 – Guided Assessment

1. Write the tile numbers into the appropriate slots to display the relationship between the height of one of these arrays and the number of cubes in that array.

2. The table shows the relationship between the height and the number of cubes for the first three arrays. Complete the table below by writing the tile numbers into the appropriate slots.

3. Based on the process column of the table, which function expresses the relationship between the height of the array (n) and the total number of cubes (t) in the array?

4. Using this function rule you found in #3, how many cubes do you need for an array that has a height of 25?

5. Using this function rule you found in #3, what is the height of an array that has 110 cubes?

6. Use your calculator to graph the problem situation and the function rule that models the relationship between the number of cubes and the height of the array. How do the graphs of the problem situation and the function rule compare?

7. Select the appropriate word to finish the sentence.When things are arranged in rows and columns, like a rectangle of blocks, it is __________.

8. Complete these statements by putting words on the correct blank.

9. Match each graph with its algebraic representation.

10. Which of these statements are true about the cube root function f ( x )=2+ 3√x+1? Select all that apply.

A. Its domain is the set of non-negative real numbers.B. Its domain is the set of all real numbers.C. Its graph has the same shape as the graph of g ( x )=3√ xand can be created by shifting every point on the graph of vertically 2 units in the positive direction and horizontally 1 unit in the negative direction.D. Its graph has the same shape as the graph of g ( x )=3√ xand can be created by shifting every point on the graph of vertically 2 units in the positive direction and horizontally 1 unit in the positive direction.

11. Which of the following statements are true about the function represented by the equation t = 3n ?

A. The point (5,243) lies on the graph of the function.B. The point (3,9) lies on the graph of the function.C. The function is an exponential function.D. The domain of the function is all real numbers.E. The function is a quadratic function.

12.

Name__________________________________________________________________ Date___________________________________ Period_______

Topic 13 – More Practice

1. Complete these statements by putting words on the right blank.

2. The second iteration of the Sierpinski Triangle is shown. What is the total number of upward triangles for the eighth iteration?

3. The second iteration of the Sierpinski Triangle is shown. What iteration number has a total of 2187 upward triangles?

4. Sandra's science class launches a fireworks rocket upward from the ground. In a table, they record the height of the rocket in feet above the ground at specific times after launch.

Based on the pattern in the table, what was the height of the rocket at 9 seconds?

5. Based on the pattern in the table for #4, when will the rocket hit the ground?

6. Which of the following graphs could represent an exponential function?

7. Jennifer used algebra tiles to construct each of the figures shown above. Which of the following is a rulefor the area of each figure, A, in terms of the figure number, n?

8. Which type of function could best model the data in the table?

9. A doctor prescribes a dosage of 400 milligrams of medicine to treat an infection. Each hour following theinitial dosage, 85% of the concentration remains in the body from the preceding hour. Which of the following statements best describes the domain of the problem situation?

10. For each function, indicate whether it is exponential or quadratic by dragging it to a slot in the appropriate column in the table.

11. Joseph used algebra tiles to construct each of the figures shown above. Which of the following function rules describe the area, A, in terms of the heights in number of tiles, n?