AP Calculus Readiness Test
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
