f(x) = x+1/x - 3
f(x) = x^2 + 4x - 5
transformations of
f(x)= -3(x-4)^2 -5
functions
logarithm& exponential functions
100
rational function
What is the type of function?
100
rises to the right, rises to the left
What is the end behavior of f(x)?
100
vertical shift
What is down 5?
100
y = 2x - 1 and y = 1/2 x + 1/2
What are inverse functions?
100
2^x = m
What is x = log in base 2 of m?
200
x = 3
What is the vertical asymptote?
200
(0,-5)
What is the y-intercept?
200
horizontal shift
What is 4 to the right?
200
x + 4 if x> 2 f(x) = { 2x - 5 if x < 2
What is a piecewise function?
200
log .001
What is -3?
300
y = 1
What is the horizontal asymptote?
300
(-2, -9)
What is the vertex of the parabola?
300
y = x^2
What is parent or common function?
300
y = 2x^2 - 7 for f(x) = 2x - 7 and g(x) = x^2
What is the composite function f(g(x))?
300
this has base e
What is the natural logarithm?
400
(-infinity, 3) u (3, infinity)
What is the domain?
400
(-9, infinity)
What is the range?
400
flips over the x-axis
What is the effect of the negative sign?
400
a smooth, continuous curve with end behavior: falls to the left, rises to the right & turning points: at most 4
What is a 5th degree polynomial with a positive leading coefficient?
400
A = Pe^rt
What is the formula used to compute continuous compounding of interest?
500
(-1, 0) and (0,-1/3)
What is the x-intercept and the y-intercept?
500
(-5, 0) and ( 1,0)
What are the x-intercepts or zeros?
500
vertical stretch
What does multiplying by 3 do?
500
this has a slant asymptote
What is a rational function whose numerator is one degree higher than its denominator?
500
log x + log 4 - log z
What is log of (4x)/z?
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