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Sec. 4.1-4.3

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Write the expression using logs: 2 x =7.2

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log 2 7.2=x

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If every horizontal line intersects the graph of a function f at no more than one point, the f is a(n) ____________ function.

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one-to-one

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Find the inverse: f(x) = 2x + 6

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Write the expression in exponential form: log 2 M = 1.3

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2 1.3 = M

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If the graph of every exponential function f(x) = a x, a>0, a not = 1, is decreasing, then a must be less than _________.

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1

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Graph f(x)=4 x

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(0,1) (1,4) (-1,1/4)

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If f -1 denotes the inverse of a function f, then the graphs of f and f -1 are symmetric with respect to the line ___________.

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y = x

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Find the inverse: {(1,2),(2,8),(3,18),(4,32)}

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{(2,1),(8,2),(18,3),(32,4)}

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Graph f(x)=log 4 x

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(1,0) (4,1) (1/4,-1)

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What is the asymptote of the graph f(x)=5+e -x ?

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y = 5

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Solve: (1/5) 2-x = 25

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x = 4

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What is the domain of the function f(x)=3 x+2 ?

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What is the domain ?

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Find the exact value (without using a calculator)

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4

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What is the domain of the function?

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Determine if the two functions are inverses of each other:

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no

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Solve:

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x = 2

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What is the asymptote of the function h(x) = 3 + log(x + 2)?

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x = -2

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What is the domain of the function F(x) = log(2-x)?

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Determine if the two functions are inverses of each other:

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yes f(g(x)) = g(f(x)) =x

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