U3D6 Have out: Bellwork: Solve for x. 1) 2) 3x = 12x + 4 –12x –12x

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U3D6 Have out: Bellwork: Solve for x. 1) 2) 3x = 12x + 4 –12x –12x Assignment, pencil, red pen, highlighter, textbook, GP notebook, calculator U3D6 Have out: Bellwork: Solve for x. 1) 2) +1 +1 +1 +1 3x = 12x + 4 –12x –12x 4x – 6 = –3x –4x –4x –9x = 4 –9 –9 –6 = –7x –7 –7 +2 total: +2

FX 56 – 59 Replacement Worksheets: Graphing Exponential Functions Take out the worksheet FX 56 – 59 Replacement Worksheets: Graphing Exponential Functions Fill in each table and sketch both functions on the same axes. Use different colors for each function.

y1 and y2 are symmetric with respect to the _____________. x 6 5 4 3 2 1 –1 –2 –3 –4 –5 –6 x -3 -2 -1 1 2 3 y 1 2 4 8 x -3 -2 -1 1 2 3 y -1 -2 -4 -8 y1 and y2 are symmetric with respect to the _____________. x–axis

y1 and y2 are symmetric with respect to the _____________. x 6 5 4 3 2 1 –1 –2 –3 –4 –5 –6 x -3 -2 -1 1 2 3 y 1 3 9 27 x -3 -2 -1 1 2 3 y 27 9 3 1 y1 and y2 are symmetric with respect to the _____________. y–axis

y x 6 5 4 3 2 1 –1 –2 –3 –4 –5 –6 x -3 -2 -1 1 2 3 y 1 x -3 -2 -1 1 2 3 y 1

Since y2 could be written as , then x 6 5 4 3 2 1 –1 –2 –3 –4 –5 –6 Since y2 could be written as , then y1 and y2 are symmetric with respect to the _________________. y–axis (or x = 0)

y x 6 5 4 3 2 1 –1 –2 –3 –4 –5 –6 x -3 -2 -1 1 2 3 y 1 2 4 8 x -3 -2 -1 1 2 3 y -8 -4 -2 -1

y x 6 5 4 3 2 1 –1 –2 –3 –4 –5 –6 y1 and y2 do not have symmetry with respect to the x– or y–axis. They have point or rotational symmetry. Therefore, they are symmetric with respect to the ________. origin

Conclusions: increasing If b > 1, then y = bx is a(n) ___________ function. y = 2x y = (3/2)x decreasing If 0 < b <1, then y = bx is a(n) ____________ function. y = (1/2)x y = (2/3)x (0, 1) The y-intercepts of y = bx is _______. There are _____ x–intercepts for y = bx. no y = 0 The horizontal asymptote is _______. (–, ) (0, ) For y = bx when b > 0, the domain is ______ and the range is ______.

Clear your desk except for pencil, highlighter, and a calculator! It's Quiz Time! Clear your desk except for pencil, highlighter, and a calculator! After the quiz, work on FX 60 – 70 and the replacement packet.