1 Name: ________________________ Pre-AP Algebra DA 1 Re-Test Review: Domain, Range, Function, and Not a Function 1. Create two tables: y is a function of x y is NOT a function of x Fill in the blank: “y is not a function of x when _____ repeats.” 2. Determine whether each table represents y as a function of x. (write function or not a function below each table) ____________ 3. _____________ ____________ Evaluate the function 𝑓(𝑥) = 2𝑥 − 1 when the domain is {-1, 3, 4}. Name: ________________________ 4. Range: { _____ , _____ , _____ Put a D next to the statement that best represents the domain and an R next to the statement that best represents the range. } a) {𝑥 | −8 ≤ 𝑥 ≤ 4} b) {𝑦 | −8 ≤ 𝑦 ≤ 4} c) {𝑥 | −9 ≤ 𝑥 ≤ 6} d) {𝑦 | −9 ≤ 𝑦 ≤ 6} 5. 6. Write the domain and range of the linear function. A recent hail storm blew through and broke the glass at the new stadium. The cost to replace the glass can be represented by 𝑐 = 500𝑔 + 1000, where 𝑔 represents the panes of glass and 𝑐 represents the total cost. If there are at least 50 panes broken but no more than 60, what is the domain of the function of the statement? a. {50, 51 ,52, 53, 54, 55, 56, 57, 58, 59, 60} b. {26,000, 26,5000, 27,000, 27,500, 28,000, 28,500, 29,000, 29,500, 30,000, 30,500, 31,000} c. 0 < 𝑔 ≤ 60 Name: ________________________ 2 d. 0 < 𝑐 ≤ 31,000 Pre-AP Algebra DA 1 Review: Slope 1. What is another word for slope? _______________________ 2. What is another word for x-intercept? __________ 3. Use the graph to answer the following questions: a) slope: __________ b) zero: __________ c) y-intercept: __________ 4. Find the rate of change of the table: Hours, h Total Cost, c 1 2 4 6 $57 $69 $93 $117 Rate of Change: _________ 5. Find the rate of change of the graph: Name: ________________________ Rate of Change: _________ Write the slope of the line that passes through the points (-2,8) and (3,-5). 6. 7. Write the equation of the line that passes through the points (0,8) and (2,4). 8. Write the equation of the line that passes through the points (2,7) and (5,16). 9. The function 𝑦 = 3.75 + 1.5(𝑥 − 1) can be used to determine the cost in dollars for a taxi ride of 𝑥 miles. What is the rate of change of the cost in dollars with respect to the number of miles? Rate of Change: _________ Name: ________________________ 3 Pre-AP Algebra DA 1 Review: Writing Equations, Solving Equations, and Transformations 1. 2. 3. Bob wants to join Lifetime Fitness. There is an initial enrollment fee of $125. It also costs $55 each month. A. What is the equation for this scenario? B. What does the y-intercept represent in this situation? C. What does the slope represent in this situation? Describe the effect on the graph f(x) = x for the following transformations. Name: ________________________ 4. The table represents some points on the graph of a linear function. x y 9 2 3 -2 -3 -6 -9 -10 Which equation best represents the same relationship? 3 c. 𝑦 − 9 = 2 (𝑥 − 9) 2 d. 𝑦 + 9 = 3 (𝑥 + 2) a. 𝑦 + 9 = 2 (𝑥 + 2) b. 𝑦 − 2 = 3 (𝑥 − 9) 5. 2 Write the equation of the line that passes through the point (2,3) and is parallel to the indicated axis: Parallel to the x-axis Equation: ____________ 6. 3 Parallel to the y-axis Equation: _____________ Given the following figure, write an equation for the line of best fit. Round to the nearest hundredth. Name: ________________________