Rational
Functions (Unit 1)
Functions (Unit 1)
Find the Holes: f(x) =(x+4)(x-1)/
(x-1)(x+2)
x=1
Condense: 3ln(x) - ln(y)
ln(x^3/y)
Find the value of cos(5\pi/6)
-sqrt3/2
sin^2(x) + cos^2(x)=_____
1
Find the AROC of 3x-5 on [2,10]
3
Find Vertical Asymtotes: f(x) = (x^2-9)/(x-3)
None, it's a hole
Solve: 2^(x+3) = 32
x=2
Value of tan(3\pi/2)
Undefined
Simplify 1/sec(x)
Cos(x)
Is function f(x) = x^3 - x even, odd, or neither?
Odd
Find Horizontal Asymtote: f(x) =(5x^3-2x+1)/(2x^3+7)
y=5/2
Evaluate: log(sub 5)(1/25)
-2
Find sin(theta)=-1/2 in Quadrant 4
11pi/6
Identity with sin^2
1-cos^2
What does a negative sign in front of f(x) do to the graph?
Reflection over the x-axis
x-intercept of f(x) = (x-7)/(x^2+1)
(7,0)
Find domain of f(x) = log(2x-8)
x > 4
225 ° to radians
5pi/4
Identity with cot^2(x)
1+cot^2(x)=csc^2(x)
If f(x) is linear, what can you say about its rate of change?
Its constant
Describe right end behavior of (-2x^2+1)/(x+5)
x --> infinity
f(x) --> -infinity
Base e form of log(sub7)(15)
ln(15)/ln(7)
Find value of csc(2pi/3)
2sqrt3/3
What is the double-angle formula for cos(2a)?
Sin(2a) = (2)Sin(a)cos(a)
Cos(2a) = Cos squared (a) - Sin squared (a)
Find the inverse function f^-1(x) for:
f(x) = (2x - 3)/(x + 4)
y =(-4x - 3)/(x - 2)