Rational Function
What is the domain of
f(x)=(2x+1)/(x-2)
Df=(-∞ , 2)U(2,+∞ )
Which of the following equations are NOT exponential?
a. f(x)= 3^2(x-2)
b. f(x)= x^4
c.f(x)= (0.5)^x
df(x)= (-0.001)^x
b and d
Converting those following Exponential Forms to Log Form:
a. 2^3=8
b.5^2=25
c. 10^-4=1/10000
log2(8)=3.
log5(25)=2.
log10(110,000)=−4.
Sketch an angle of 30 degrees in the standard position
and sketch an angle of 135 degrees in a standard position
SEE IT ON BOARD
What is the vertical and horizontal asymptotes of
f(x)=(2x+1)/(x-2)
Vertical Asymptotes: x=2
Horizontal Asymptotes: y=2
Let f(x)=5(3)^(x+1), find f(2)
f(2)=135
Solve 2^5x = square root of 2
x=1/10
Convert those to degrees:
a. pi/3
b. 3
a. 30 degree
b. 540/pi
Find the rational equation that satisfies following:
a. Vertical Asymptotes at x=2 and x=1
b. x-intercept at (1,0), (3,0)
c. y-intercept at (0,-3)
f(x)= (2(x-1)(x-3))/((x-2)(x+1))
A person invested $1000 in an account earning a nominal 10% per year compounded continuously. How much was in the account at the end of one year?
A(t) = Pe^rt
=$1105.17
Expand log6(64x3(4x+1)(2x−1)).
=6log62+3log6x+log6(4x+1)-log6(2x-1)
Determine the quadrant for following:
a. 25pi/6
b. 4pi/3
c.-pi/4
a. first
b. third
c. fourth
Find the intercepts of
f(x)= ((x-2)(x+3))/((x-1)(x+2)(x-5))
(Including both x/y intercepts plz)
y-intercept: (0,-0.6)
x-intercept:(2,0)(-3,0)
Find the exponential equation passing through (0,3) and (2,12)
f(x)=3(2)^x
Solve e^2x - e^x =56
x=ln 8
Find an angle ββ that is coterminal with 19pi/4, where 0≤β<2pi.
The angle 3pi/4 is coterminal with 19pi4
k(x)= (x-2)/(x^2-4)
vertical asymptotes: x=-2
x=2 the graph will have a hole
Find the exponential function that passes through the points (-2,6) and (2,1)
f(x)=(2.45)(0.64)^x
Rewrite 2logx-4log(x+5)+(1/x)log(3x+5) as a single log
log ((x^2(3x+5)x^-1))/(x+5)^4
What is the area of a sector with an angle of 30 degree and the radius of 2
A=1/2 (radi)(r)^2
=pi /6 *4*1/2
=pi/3