3-2 Graphing Functions

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

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
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?
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
(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:
Background image of page 2
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 4
This is the end of the preview. Sign up to access the rest of the document.

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...
View Full Document

Page1 / 4

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

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online