sec. 4.1-4.3. write the expression using logs: 2 x =7.2
TRANSCRIPT
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Sec. 4.1-4.3Sec. 4.1-4.3
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Write the expression using logs:Write the expression using logs:
2x=7.2
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log27.2=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:Find the inverse:
f(x) = 2x + 6
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1 1( ) 3
2f x x
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Write the expression in exponential Write the expression in exponential form:form:
log2M = 1.3
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21.3 = M
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If the graph of every exponential function f(x) =
ax, 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)=4x
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(0,1) (1,4) (-1,1/4)(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: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)=log4x
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(1,0) (4,1) (1/4,-1)(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: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)=3x+2?
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( , )
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What is the domain
? 1
( ) ln1
f xx
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( 1, )
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Find the exact value Find the exact value (without using a calculator)(without using a calculator)
2log 4
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4
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What is the domain of the function?
( ) 2 log( 3)f x x
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( 3, )
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Determine if the two functions are Determine if the two functions are inverses of each other:inverses of each other:
2( )
3
2 3( )
f xx
xg x
x
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nono
2
( ( ))1 3
2 12( ( ))
3
xf g x
x
xg f x
x x
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Solve:Solve:
3log 243 2 1x
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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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( ,2)
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Determine if the two functions are Determine if the two functions are inverses of each other:inverses of each other:
2 3( )
4
4 3( )
2
xf x
x
xg x
x
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yesyes
f(g(x)) = g(f(x)) =x