SWBAT to sketch and solve exponential functions WARM UP: Find the roots using your GDC! a)f(x) = x 2...
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Transcript of SWBAT to sketch and solve exponential functions WARM UP: Find the roots using your GDC! a)f(x) = x 2...
SWBAT to sketch and solve exponential functions
WARM UP:Find the roots using your GDC!
a) f(x) = x2 +3x -2 b) f(x) = x3 +3x – 3
Exponential Functions
• The independent variable is the exponent (or power in the equation
Examples: f(x) = 2x , g(x) = 7(3)x - 8General Form:F(x) = kax + c
y = c is the horizontal asymptotey- int will be (0, k + c)
Asymptote
• A line that that a function approaches but never reaches.
Graph f(x) = 4(2)-x + 2
Where is the asymptote? F(x) = 2
Bases vs Negative Exponents
• If a (the base) > 1 && exponent is positive,then the graph increases (exponential growth)f(x) = 3 (4)x
• If a (the base) < 1 OR the exponent is negative,then the graph decreases (exponential decay)a) f(x) = 0.5x b) c) h(x) = 8-x + 4
F(x) = -4-x + 1
• What’s the asymptote? y = 1
• What the y-int?(0,-3)
CW or Homework?
• PG 173-174 Exercise 4U– Go Team!