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Math 1050-006 Midterm 3 Practice Test
1.) Simplify the following exponential expressions:
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a) l25
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b)(32°0)°°
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2
and g(x)=1 (5x
2.) Graphf(x)=
y-axis
y-axis
()
6
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5
4
3
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5
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1
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3.) Benjamin Franklin before his death invested $1000 dollars into the Bank of Boston, if the value
of his investment increased by 5% every year how much money would there be in his
account 200 years later? (just set up your equation, you are not expected to be able to evaluate the answer)
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4.) What is the implied domain of the rational function
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r(x)=3_5)+X+1)
(x—2)(x— 4)
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5.) Identify the verical asymptotes, x-intercepts, and leading order term of the rational fucntion
-f 1)
2
4(x+2)(x
r(xj
3 (x —3) (x —1)
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6.) Use your solutions from problem #6 to graph the rational
(from problem 5)
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13.) Solve the exponential equation:
e_X=
e)1S e’
1
for x
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14.) Solve the logarithmic function: loge (/E) = 5 for x
t
=
5
ID5()9
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ID
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5
((x+1)
10
15.) Solve the logarithmic function: 1og
=
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to
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16.) Findthedomainofgifg(x)=
1
x
2
2x—4
4
if xe(—co,2)
if xe(3,4]
if xE[4,c’)
(1 [)
(-x,
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17.) Using g(x) from problem 1Zevaluate the function if you are able to
(if not write undefined and write why)
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c) g(6)
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