MATH 1201
Find the range of f (x) = - 1 / √ (2 - x)
(-∞, 0)
Find the range of f(x) = 2 - √(2-x)
(-∞, 2]
What is the vertex of f(x) = 3(x - 2)2 + 2?
(2, 2)
What is the domain of f(x) = √(x - 5) / √x (√ means "the square root of")?
[5, ∞)
What is i^(-3)?
i
An equation for a line perpendicular to p(t) = 3t + 4 and passing through the point (3, 1) is:
y = (-1/3)x + 2
What is the equation of a line through (-1, 4) and (-2, 7)?
y = -3x + 1
What are the possible rational roots of f(x) = 5x4 - 173x3 -16x2 -7x -15, according to the rational root theorem? "+-" means "plus or minus".
{+- 1/5, +- 3/5, +-1, +- 3, +- 5, +- 15}
What are the possible rational roots of f(x) = x4 - 173x3 - 16x2 - 7x - 15, according to the rational root theorem? "±" means "plus or minus".
{±1, ±3, ±5, ±15}
As x goes to minus infinity, the graph of f(x) = 5x4 - 173x3 - 16x2 - 7x - 15 goes to (points in) what direction?
∞
find the range of f(x) = -√(2-x)
(-∞, 0]
If f(x) = 2x + 1, what is the domain?
(-∞,∞)
Where the line y = 6 meets the parabola y = x2 + x for x > 0?
(2, 6)
Find the value of x if a linear function goes through the following points and has the following slope: (x, 2), (−4, 6), m = 3.
-16/3
A frog jumps and takes 2 seconds to land. The path of the frog's flight is best modeled by the graph of f(x) = -x2 + 2x. What is the maximum height of the jump?
1
if f(t) = t^2 + t, find the average rate of change on the interval [-1, 2]
2
If f (t) = t2 + t, find [ f(t + h) - f (t)] / h.
2t + h + 1
If f(x) is a 4th degree polynomial, and has 3 complex numbers as roots, the other root is?
Complex
If f(x) is a 4th degree polynomial, and has 3 real numbers as roots, the other root is?
Real
What the equation of the line passing through (1, 4) and parallel to y = 2x + 1?
y = 2x + 2
As x goes to infinity, the graph of f(x) = 5x4 - 173x3 -16x2 -7x -15 goes to (points in) what direction?
∞
If a = 2 + i, and b = 3 - 2i, what is a/b?
4/13 + 7i/13
If a = 2 + i, and b = 3 - 2i, what is b/a?
4/5 -(7/5)i
What is (2+iSQRT(2))(2-iSQRT(2)
6
If f(x) = 3x +2 and g(x) = x -4, (f/g)(4) is:
undefined
If A = (-2, 5) and B = [4,7], A ᴗ B?
(-2, 7]
What is the vertex of f(x) = x2 + 3x + 2?
(-3/2, -1/4)
What are the x-intercepts of f(x) = x2 - 6?
(√6, 0) and (-√6, 0)
f(x) is a quadratic function with vertex (1, −2), opens up.
X2 - 2x - 1