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? 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 √ x and 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 = 3 n ? 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.