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Which of the following shows the extraneous solution to the logarithmic equation 2 log sub 5 open paren x plus 1 close paren is equal to 2 ?

A
x is equal to negative 6
B
x is equal to negative 2
C
x is equal to negative 1
D
x is equal to negative 4
22
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The graph of which function passes through open paren 0 comma 3 close paren and has an amplitude of 3 ?

A
f of x is equal to cosine of x plus 3
B
f of x is equal to 3 sine x
C
f of x is equal to 3 cosine x
D
f of x is equal to sine of x plus 3
23

Which equation has x is equal to 4 as the solution?

A
log sub 4 of open paren 3 x plus 4 close paren is equal to 2
B
the log base x of 16 is equal to 4
C
log sub 3 of open paren 2 x minus 5 close paren is equal to 2
D
the log base x of 64 is equal to 4
24

A supervisor finds the mean number of miles that the employees in a department live from work. He finds line segment x is equal to 29 and s is equal to 3 point 6 Which statement must be true?

A
z sub 37 is more than 3 standard deviations of the mean.
B
z sub 37 is within 1 standard deviation of the mean.
C
z sub 37 is between 2 and 3 standard deviations of the mean.
D
z sub 37 is between 1 and 2 standard deviations of the mean.
25

Which of the following is the graph of y is equal to negative square root of x plus 1 ?

A
Image with description On a coordinate plane x and y axes range from negative 9 to 9 in increments of 1. The curve originates from (0 negative 1) and passes through the points (4 comma negative 3) and (9 comma negative 4) in the 4th quadrant.
B
Image with description On a coordinate plane x and y axes range from negative 9 to 9 in increments of 1. The curve opens down and to the left in quadrants 1 and 3. The origin of the curve is at (0 comma negative 1). The curve passes through the points (negative 1 comma 0) and (negative 8 comma 2).
C
Image with description On a coordinate plane x and y axes range from negative 9 to 9 in increments of 1. The curve originates from (0 comma 1) and passes through the points (negative 4 comma 3) and (negative 8 comma 4) in the 2nd quadrant.
D
Image with description On a coordinate plane x and y axes range from negative 9 to 9 in increments of 1. The curve opens up and to the right in quadrant 4. The origin of the curve is at (0 comma 1). The curve passes through the points (1 comma 0) and (8 comma negative 2).
26

Which of the following shows the graph of y is equal to negative 2 to the x th power minus 1 ?

A
Image with description On a coordinate plane, the curve approaches x axis for negative values of x in the third quadrant. It passes through (1 comma negative 1), (2, comma negative 2), (3 comma negative 4), and decreases rapidly in the fourth quadrant.
B
Image with description On a coordinate plane, the curve approaches the line y equals negative 1 for negative values of x in the third quadrant. It passes through (0 comma negative 2), (1 comma negative 3), (2 comma negative 5), and decreases rapidly in the fourth quadrant.
C
Image with description On a coordinate plane, the curve approaches x axis for negative values of x in the third quadrant. It passes through (negative 1 comma negative 1), (0 comma negative 2), (1 comma negative 4), and decreases rapidly in the fourth quadrant.
D
Image with description On a coordinate plane, the curve approaches the line y equals 1 for negative values of x in the second quadrant. It passes through the origin, (1 comma negative 1), (2 comma negative 3), and decreases rapidly in the fourth quadrant.
27

How might the graph be considered misleading?

A
The x -interval makes the data appear skewed.
B
The y -scale is too large for the data set.
C
The x -scale is different from the y -scale.
D
The y - interval shows exponential increase rather than linear increase.

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