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Name:________________________________ Graph the equation y Unit 4 Test 3 Review 5 x 2 , answer the following questions and graph the line. 4 1. Will the graph of this equation increase or decrease from left to right? How do you know? 2. What is the x-intercept? Y-intercept? 3. Write table of values for the function. 4. Graph the equation in 1 – X Y 3 -4 0 4 5. Is this the graph of the equation y 1 x 2 ? Give two pieces of evidence to support your 2 answer. a.) slope: _____________________________ b.) y-int: _____________________________ Name:________________________________ Unit 4 Test 3 Review 6. Graph the following equations using any method. Identify the x and y intercepts. 2 a) y x 3 3 c) 2x y 4 x-int: x-int: y-int: b) 3x 2y 6 x-int: y-int: 7. Graph the line that contains the point (0,2) with a slope of -3. 1 d) y x 1 3 y-int: x-int: y-int: 8. Graph a line that has a slope of 0 and contains the point (0,-2). Name:________________________________ Use the table to answer the following questions: 9. What is the slope? Unit 4 Test 3 Review x 1 2 3 F(x) 2 6 10 10.Write the equation in slope-intercept form. 11.Find the x and y intercept. 12.Graph the equation. 13.Given the parent linear function y = x, identify the intercept, y-intercept, slope and graph: 14.What would be the new equation if we moved the graph down six on the y-axis? 15.What effect would placing a negative coefficient in front of x have on the graph? 23. How do the graphs of (a) y = x + 3 and the graph of (b) y = -2x + 5 differ? Provide three examples. 1. m(steepness): _________________________________ 2. m(direction):__________________________________ 3. y-int:_______________________________________ x Name:________________________________ Unit 4 Test 3 Review 16.How does changing the constant c in y = x + c affect the graph? 17.If the graph of y = 2x – 7 is shifted vertically 5 units what is the equation of the new function? 18.Below is the graph of the height of a six inch candle that burns at a rate of two inches per hour. How would the graph change if the candle burned at a rate of three inches per hour? Review: 19.Find the slope-intercept form of the equation of the line that passes through the points (-7, 1) and (14, -8). 20.Find f(-5) given f(x) = x 2 - 5x + 18 21. Solve: 7y + 15 5y + 3 3 2