3-2 Graphing Functions

# 3-2 Graphing Functions - a What will be its height when it...

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3.2 Graphing Functions Vertical Line Test:  A graph can be identified as a function if any vertical line intersects the graph of  the function at only one point. Use the vertical line test to determine if the graph represents a function. If so, find (a) its domain and   range; (b) its intercepts, if any; (c) any symmetry with respect to the x-axis, y-axis, or origin. 1. y = 2|x| - 4 2. x 2  + y 2  = 25 3. x = 2 4. y = (x – 3) 3 Function? Domain Range Intercepts Symmetry 1 2 3 4 5. y = sin x 6. y = 2x + 2 7. y 2  = 4x + 4 8. 2 1 2 x y x - = + Function? Domain Range Intercepts Symmetry 5 6 7 8 9. Given ( 29 2 2 3 x f x x + = + , (a) is (2, 0) on the graph? (b) If x is 3, what is y?

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(c) If f(x) = 4, what is x? 10. If a golf ball hit with an initial velocity of v feet per second at an inclination of 45 ° to the horizontal, its height h is given by the function ( 29 2 2 32 x h x x v - = + , where x is the distance that the ball has traveled. If the ball is hit with an initial velocity of 120 feet/second:

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Unformatted text preview: a. What will be its height when it has traveled 100 feet? b. What will be its height when it has traveled 500 feet? c. How far was the ball hit? TRY THESE Section 3.1 Find the domain of the following functions: 1. ( 29 x f x x x x + = +--2 3 5 6 9 2 3 2. ( 29 x x h x x + + =-2 3 5 5 8 Determine if the following is a function; if so, state its domain and range: 3. 5x - y + 2 = 0 4. y x =--2 8 5. If f(x) = 7 2 5 2 + +-x x x , find f(x – 4). 6. If f(x) = 3x + 5 and g(x) = 15x 2 + 19x – 10, find: a. (f – g)(x) b. (fg)(x) c. ( f /g)(x) Section 3.2: 7. If an object has fallen 144 feet in 3 seconds and 400 feet in 5 seconds, what is its average rate of change? 8. For the graph below fill in the following table: Function? Domain Range Intercepts Symmetry 8...
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3-2 Graphing Functions - a What will be its height when it...

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