AP Calculus Readiness Test

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Determine the domain of f(x) = 1/x

( -oo , 0 ) ( 0 , oo )

Determine the domain of y = ( x - 3 )²

( -oo , oo )

Determine the domain of y = e^x + 2

( -oo , oo )

f(x) = ( x + 1 ) / x then f ( -x ) =

( -x + 1 ) / (-x)

The domain of f(x)=√(x-1) / (x²-x) is

( 1 , ∝ )

Determine the range of y = e^x+ 2

( 2 , oo )

f(x) = ( x - 1 ) / 3x then f ( -x ) =

( x + 1 ) / (3x)

simplify: ( (x- 1) /y ) / ( 3x / y )

( x - 1 ) / 3x

One factor of 2y² - 7y + 3 is

( y - 3 )

The domain of f(x)=(x-1)/(x²-1) is

(-∞,-1)(-1,1)(1,∝)

The domain of f(x) = 3 / ( x + 1 ) - 3 is

(-∞,-1)(-1,∝)

Simplify: 5/(y-2) - 1/(y+2)

(4y + 12)/(y² - 4 )

Given f(x) = 2x - 8 then the inverse of f(x) is

(x+8)/2

Evaluate Sin 240

- √3 /2

Evaluate Cot 315

-1

The y value for the point of intersection of the two lines x + y = 1 and x - y = 3 is

-1

Evaluate: Sin -30

-1/2

Evaluate Csc 150

-2

If x²+6x=-7 then x =

-3+√2 and -3 - √2

If x²+7x+6=0 then x =

-6 and -1

ArcSin(-1/2) is

-pi/6

If cos ∅ lies in the third quadrant and sin ∅=-1/2 then cos ∅ is

-√3 / 2

Evaluate ln1

0

Evaluate: Tan 180

0

Simplify: log 20 - log 2

1

Sin² ( 150 ) + Cos² ( 150 ) =

1

Evaluate: Cos 300

1/2

Given f(x)=4/(x-1) and g(x)=2x then find the value for x where f(g(x))=g(f(x))

1/3

lnx - ln(x-1) = 1 solve for x

10/9

y=|cosx| has a period of

1pi

Evaluate log 100

2

The x value for the point of intersection of the two lines x + y = 1 and x - y = 3 is

2

log₅25 =

2

1/( y- 2 ) +1 / ( y + 2 )

2y / (y²-4)

simplify 2³(2²)+(2³)²

3(2⁵)

The period for y= 3 tan ( x/3 - 2 ) is

3pi

Simplify: 2( a² - (-a² )) / a²

4

simplify 2 log 100

4

Simplify: 1/(y-2) - 1/(y+2)

4/(y² - 4 )

Find the equation of a line perpendicular to y = -4x + 5 that passes through the line ( -2 , 3 )

4y - x = 14

Find the equation of a line perpendicular to y + 4x = 5 that passes through the line ( -2 , 3 )

4y-x=14

If tan ∅ = 5/12 and ∅ is in quadrant three then sin ∅ =

5/13

2+3e^(2x-5)=5 solve for x

5/2

The period for y= 2 cos ( x/3 - 2 ) is

6pi

Find the equation of the line that passes through the two points ( 5 , -3 ) and ( -2 , 3 )

7y = -6x +9

Determine the range of y = ( x - 3 )²

[ 0 , oo )

Determine the domain of y = √( x - 3 )

[ 3 , oo )

A reflection over the y-axis for f(x) is

f(-x)

An even function is

f(x) = 2cosx

A function defined such that f(-x)=-f(x) could be

f(x) = Sin 2x

An odd function is

f(x) = x³+2x

simplify log 5 + log 3

log 15

simplify log 4 + log 5

log 20

ArcCos(√3 / 2 ) is

pi/6

Find an equation for the line that satisfies the given conditions. Passes through the point ( 5 , -3 ) and has a slope of -4

y + 3 = -4 ( x - 5 )

Find the equation of a line parallel to y + 4x = 5 that passes through the line ( -2 , 3 )

y + 4x = 5

One factor of 2y²+7y+3 is

y+3

Find the equation of the line perpendicular to y = 1/5x - 2 that passes through the point ( 2 , 3 )

y+5x = 13

Find the equation of the line parallel to y=1/5 x + 2 that passes through the point ( 2 , 3 )

y-3 = 1/5 ( x - 2 )

Cos ( 30 ) + Sin ( 120 ) =

√3


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