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24 questions
Describe the end behavior of the function shown: y=log2(x+1)
Describe domain of the function shown: y=log2(x+1)
(-∞,∞)
(-1,∞)
(-1,3)
(∞, -1)
Describe range of the function shown: y=log2(x+1)
(-∞,∞)
(-1,∞)
(-1,3)
(∞, -1)
Write the equation of the function f(x)=log3x after the following transformations:
Translate 6 units left and 4 units up.
g(x)=log3(x+6)+4
g(x)=log3(x+4)-6
g(x)=log3(x-6)+4
g(x)=3log(x+6)+4
Select all of the transformations of f(x)=lnx that produce the function
g(x)= − log x+3
vertical stretch by e
Reflection over the y-axis
Translation 3 units left
Reflection over the x-axis
Translation 3 units up
Select all of the transformations of f(x)=log5x that produce the function g(x)=8log5(x-4)
Vertical stretch by a factor of 8
Vertical stretch by 5
Translation 4 units left
Translation 4 units right
Translation 4 units down
Write the equation of the function f(x)=log(x+5)-6 after the following transformations:
Translate 3 units left and 2 units up.
f(x)=log(x+2)+2
f(x)=log(x+2)-4
f(x)=log(x+8)-4
f(x)=log(x+8)+2
Write the equation of the function f(x)=3logx+4 after the following transformations:
Vertical stretch by a factor of 2, translate 5 units to the right.
g(x)=5log(x+5)+4
g(x)=5log(x-5)+4
g(x)=6log(x-1)
g(x)=6log(x-5)+4
Write the equation of the function f(x)=log(x+5)-6 after the following transformations:
Translate 3 units left and 2 units up.
g(x)=log(x+2)+2
g(x)=log(x+2)-4
g(x)=log(x+8)-4
g(x)=log(x+8)+2
Find the domain and range of:
f(x) = log2(-x)
D: all real numbers
R: y > 0
Domain: all real numbers
Range: all real numbers
Domain: x < 0
Range: all real numbers
Domain: all real numbers
Range: y < 0
Function of 1/2 log (x+4)?
vertical stretch by 2, 4 right
vertical compression by 1/2, 4 left
horizontal stretch by 2, 4 up
vertical compression, 4 right
Which of the following transformations would take f(x)= logx to g(x)= −log(x+5)
reflection over the x-axis
reflection over the y-axis
translate right 5
translate up 5
translate left 5
Describe the transformation of y=log(x) that would give the graph for y = log(2(x+7))
vertical translation 7 up, horizontal stretch by 2
vertical stretch by 2, 7 right
horizontal translation 7 left, horizontal compression by 2
horizontal translation 7 right, vertical compression by 1/2.
Describe the transformation of y=log(x) that would give the graph for y = 7log(x)
vertical translation 7 up
vertical stretch by a factor of 7
vertical compression by a factor of 7
horizontal translation 7 left
Describe the transformation of y=log(3x)+4
vertical stretch by 3, 4 left
horizontal stretch by 3, 4 down
horizontal compression by 1/3, 4 up
vertical compression by 1//3, 4 up
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