Find the rate of change g(x) = 4 - x^2 over [1,2]
What is -3?
limx->1 √ (10x-1)
What is 3?
Solve for the vertical asymptote in h(t) = 2t / (6+t)
What is a vertical asymptote at x = -6?
Determine
f(x) = 2x if x< 6
f(x) = x-1 if x >/ 6
is continuous @ x = 6
What is NOT continuous?
Determine the derivative of f(x)=6
What is 0?
Find ROC of f(x) = 5+cosx over the interval [0, π/2]?
What is -2/π?
g(x)=-3x2+x+1
h(x) = x-2
F is a function that satisfies g(x)<f(x)<h(x) for all x. Find the limx->-1f(x)?
What is -3?
limx-> ∞ (4x3-7x2) / (5x4-8x)
What is 0?
Determine whether f(x) = (4x+5)/(9-3x) is continuous @ x= -1
What is continuous?
Determine the derivative of g(x)=x^2
What is 2x?
Find ROC for a(x) = lnx ; [1,e]
limx->4 (x2 - 2x - 8) / (x - 4)
What is 6?
Solve lim x->∞ cos(1/x) + 4e-x
What is 1?
Determine
f(x) = 3-x if x </ 2
x^2/2 if x > 2
is continuous @ x=2
What is not continuous?
Determine the derivative of f(x)=2x^3 − 1
What is 6x^2?
Find equation of secant line and put it in slope-intercept form
v(t) = t^3 - t ; [-2,2]
What is y = 3x?
limx->4 (√x - 2) / (x - 4)
What is 1/4?
Find the asymptotes in f(x) = ((4x-1)*(x+1)) / ((x-2)*(x+3))
A) Horizontal
B) Vertical
What is the horizontal asymptote @ y= 4?
What is the vertical asymptote @ x = 2, x=-3?
Show h(t) = (4t + 10) / (t2 - 2t - 15) is NOT continuous.
(Hint: There are two points that it isn't continuous)
What is x=-3 and x=5?
Determine the derivative of g(t) = 5/t
What is -5/t^2?
Using interval [x , x + h], find expression that represents the slope of secant line:
f(x) = √ x
What is 1 / √ ( (x+h) + √ x)
limx->0 ( (x-2)2 - 4) / x
What is -4?
Solve for the horizontal asymptote f(x) = (8 - 4x2) / (9x2 + 5x)?
What is horizontal asymptote at x = -4/9?
Solve limx->0 (ex-1)/ex
What is 1?
Determine the derivative of V(t) = (t+1)/(t+4)
What is 3/(t+4)^2?