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