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Vertical. If all vertical lines intersect the graph once, then the graph is a function. Not a function, Relation. Function. Function. The y-axis crosses the curve 3 times. (0, 4). End at y = 4. f (0) = y. = 4. f (3) = y. = -3. f (-2) = y. = 0. (0, 4).
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Vertical If all vertical lines intersect the graph once, then the graph is a function. Not a function, Relation. Function Function The y-axis crosses the curve 3 times.
(0, 4) End at y = 4 f(0) = y = 4 f(3) = y = -3 f(-2) = y = 0 (0, 4) D: [-6, 6] or -6 <x< 6 End at x = 6 R: [-4, 4] or -4 <y< 4 (2, 0) (6, 0) (-6, 0) (-2, 0) (-2, 0) Start at x = -6 (-6, 0) (-2, 0) (2, 0) (6, 0) (0, 4) 4 intersections (3, -3) x = -5 , -3 , 3 , 5 -2 < x < 2 x = -3 x = 3 x = -5 x = 5 Start at y = -4 or (-2, 2) Means when is y > 0. When is the graph above the x-axis.
The point is not on the graph Multiply (x+2) to both sides. X-intercepts Y-intercept Zero in for y= g(x). Solve for x. Zero in for x. Solve for y.
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Replace y with –y in the equation and if you get the same equation, the graph of the equation is symmetrical to the x-axis. Mirror image over the x-axis. Replace x with –x in the equation and if you get the same equation, the graph of the equation is symmetrical to the y-axis. Mirror image over the y-axis. Replace x with –x and y with –y in the equation and if you get the same equation, the graph of the equation is symmetrical to the origin. Turn 180o for a mirror image. WAIT A MINNUTE! Only even powers won’t change! RIGHT?! Test the equations for symmetry. Symmetrical to the y-axis. Symmetrical to the x-axis. Symmetrical to the x-axis. Symmetrical to the y-axis. Symmetrical to the origin. Symmetrical to the origin.