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Exponential Graphs and equations
Evaluate exponential functions
Table of values and horizontal asymptotes
Equations to words - transformations
Words to equations - transformations
100
Which graph represents exponential decay
a)
100
Evaluate f(x) = 2^x for x=-4
1/16
100
find the table of values and asymptote for the function f(x)=4^(x+1)-2
-2 -1.75 -1 -1 0 2 asymptote: y=-2 1 14 2 62
100
f(x)=2^(x-1)
right 1
100
f(x)=(1/2)^x translated up 7 units
f(x)=(z/2)^x+7
200
Which graph represents exponential growth
b)
200
Evaluate f(x)=3^x for x=-3
1/27
200
find the table of values and asymptote for the function f(x)=(1/2)^(x)+3
-2 7 -1 5 0 4 asymptote: y=3 1 3.5 2 3.25
200
f(x)=4(3)^x+5
vertically stretched by 4, up 5
200
f(x)=4^x translated left 1, down 1
f(x)=4^(x+1)-1
300
Which equation below represents exponential decay a) y=2(1/2)^x b) y= 5(3)^x
a) y=2(1/2)^x
300
Evaluate f(x) = (1/4)^x for x=3
1/64
300
find the table of values and asymptote for the function f(x)=-(3)^(x+4)
-2 -9 -1 -27 0 -81 asymptote: y=0 1 -243 2 -729
300
f(x)=(.2)^(x+4)-6
left 4 and down 6
300
f(x)=(0.25)^x translated right 6 units, up 2 units, and vertically shrunk by 1/2
f(x) = 1/2(0.25)^(x-6)+2
400
Graphs of exponential functions looks like a what? a) Lines b) Curves c) Parabolas
b) curves
400
Evaluate y = -4^(x+2) - 3 for x=-2
-4
400
find the table of values and asymptote for the function f(x)=-2(1*8)^(x+2)-1
-2 -3 -1 -1.25 0 -1.0313 asymptote: y=-1 1 -1.0039 2 -1.0005
400
f(x)=-(1/3)(5)^(x-7)
reflected over x-axis, vertically shrunk by (1/3) and right 7 units
400
f(x)=3^x reflected over x-axis, vertically stretched by a factor of 5 and translated up 9 units
f(x)=-5(3)^(x)+9
500
Write an exponential equation that represents growth.
Answers may vary: b needs to be larger than 0
500
Evaluate f(x) = 6 (1/4)^(x-1)+2 at x=2
7/2
500
find the table of values and asymptote for the function f(x)=(5)^(x-3)+4
-2 4.0003 -1 4.0016 0 4.008 asymptote: y=4 1 4.04 2 4.2
500
f(x)=-(1/2)74^(x+12)-3
reflected over x-axis, vertically shrunk by (1/2), left 12 units, and down 3 units
500
f(x)=(.7)^x vertically shrunk by a factor of 1/7, left 6 units, reflected over x-axis, and down 5 units
f(x)= -(1/7)(.7)^(x+6)-5