1A: rates of change
What is the rate of change formula?
y2-y1/x2-x1
What is the horizontal asymptote for f(x)=6x2+x/3x3+x2 if one exists?
y=0
Rewrite the following logarithm as an exponent: logc6=u
cu=6
How do you find the period of a function?
2π/b
Evaluate sec(π/3) without a calculator
2
What is the average rate of change for function: y=8x+5 on -5≤ x≤ -3
8
Find the y-intercept of the function
f(x)=n2-199n+4/n2+n+0.009; if there is none, say so.
444.444
What is the value of x=log100000? Don’t use your calculator
x=5
What is the amplitude of this function: f(x)=123457801cos(363671x+π/4)+101
|a| = 123457801
Solve 2sinx+3=4. Find all values in 0≤x≤2π
x=5π/6 and π/6
What is the rate of change of average rate of change for f(x)=2x+9e
0
What is the end behavior of S(t)=t2-9/4t2+2t-1 ?
lim x -> ± ∞, f(x) = 1/4
Rewrite as a single logarithm: 3logax-2logan
loga(x3/n2)
Find the midline of the sinusoid.
Max=1.9, Min.=0.1
y=1
Simplify sin(x-5π/3)
1/2sinx+√3/2cosx
Estimate the average rate of change at f(x)=1/3x at x=4
-0.0208
What is the domain of the function:
f(x)=x2-2x-24/2x3+10x2
(-∞ , -5) U (-5,0) U (0,∞)
Expand:
log3(9x-27)
2+log3(x-3)
Find the inverse of function: f(x)=4-cos(2x)
f-1(x)=1/2cos-1(-x+4)
Solve for exact values for 0 to 2 pi:
sin(2x)secx=0
x=0,π,2π
What is the average rate of change for the function f(x)=2x2+7x+2 on 2≤ x≤ 5
21
The function f is given by f(x) = (x-8)(x+3)/x2+5x-24. Which of the following (letter) describes the function f ?
C. Domain is (-∞ ,-8)u(-8,3)u(3,∞ ) with a HA of y=1
Q. Domain is (-∞ ,-8)u(-8,3)u(3,∞ ) with a HA of y=0
C. Domain is (-∞ ,-8)u(-8,3)u(3,∞ ) with a HA of y=1
Expand (harder ):
log2 √16x3/y2
1/2(4+3log2x-2log2y)
Make a sin function with the following values:
Amplitude: 68a
Period: 6
Phase Shift: left 6π/7
Vert. Shift: up 9
y=68asin(π/3x+2π2/7)+9
Find ALL approximate values using a calculator:
7sin2x=5
x=±1.006+πk