Chapter 9 GUIDE For Exercises 1-2, determine whether each relation is a function. Score __________ 1. x –1.8 –1.6 –1.4 –1.2 1. _______________ y 1.5 1.0 1.5 2.0 2. _______________ 3. If = + 9 and = 6x what is the value of [g(2)]? f(x) g(x) f –x 3. _______________ 4. Archie was given a gift card with a $50 balance. He only uses the gift card to purchase his daily bran muffin from his favorite café. The muffin cost $1.95. The equation = 50 1.95x represents the amount of remaining on the gift card after muffins. y x – a. Identify and interpret the and Round to the nearest tenth, if necessary. x- y-intercepts. 4. x-intercept _____ y-intercept _____ Predict how many muffins Archie has purchased when the gift card balance is $11. b. 4b. ____________ 5. Explain why the equation = is a function but = is not a function. Graph each one to y x –4 –4 5. explain on left help you. = = y x –4 –4 6. 6. Graph a line with slope and y-intercept –1. State the slope and the of the graph of 5x 2y = 6. 7. y-intercept – 7. m = ___________ b = ___________ 8. Find the slope of the line using both AND then prove it by using the slope formula. 8. m = ___________ The cost of cheese varies directly with the number of pounds bought. Suppose 2 pounds 9. costs $8.40. Write a direct variation equation. Then solve the equation to find the cost of 3.5 9. ____________ pounds of cheese.
Chapter 9 GUIDE For Exercises 1-2, determine whether each relation is a function. 1. x –1.8 –1.6 –1.4 –1.2 y 1.5 1.0 1.5 2.0 3. If f(x) = –x + 9 and g(x) = 6x what is the value of f [g(2)]? 4. Archie was given a gift card with a $50 balance. He only uses the gift card to purchase his daily bran muffin from his favorite café. The muffin cost $1.95. The equation y = 50 – 1.95x represents the amount of remaining on the gift card after x muffins. a. Identify and interpret the x- and y-intercepts. Round to the nearest tenth, if necessary. b. Predict how many muffins Archie has purchased when the gift card balance is $11. 5. Explain why the equation y = –4 is a function but x = –4 is not a function. Graph each one to help you. y = –4 x = –4 6. Graph a line with slope and y-intercept –1. 7. State the slope and the y-intercept of the graph of 5x – 2y = 6. 8. Find the slope of the line using both AND then prove it by using the slope formula. 9. The cost of cheese varies directly with the number of pounds bought. Suppose 2 pounds costs $8.40. Write a direct variation equation. Then solve the equation to find the cost of 3.5 pounds of cheese. Score __________ 1. _______________ 2. _______________ 3. _______________ 4. x-intercept _____ y-intercept _____ 4b. ____________ 5. explain on left 6. 7. m = ___________ b = ___________ 8. m = ___________ 9. ____________
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