Calculus Answers

Polynomial Inequalities:

6) x^2 - 1 < 0

show number line test and answer in interval notation

Polynomial Inequalities:

3) 4x - x^2 > 0

show your number line test and state answer in interval notation

Polynomial Inequalities:

2) (x-5) (x+2) > 0

show your number line test and state your answer in interval notation

Synthetic Division:

4) (2x^6 - x^5 + 3x^2 + 2x - 4) / (x+2)

Synthetic Division:

1. (3.) (3x^5 - 2x^3 + 5x^2 - x+3) / (3x-2)

Synthetic Division:

1. (2.) (3x^2 - 4x + 3) / (2x - 1)

(show step by step)

Graph the piecewise function below

h(x) = { y= 3x + 2 if -2 < x < 1

y= 1/2x - 1 if x < -2

What is domain? (Interval notation)

What is range? (Interval notation)

What transformations were applied to parent function f(x) = x^4

a. g(x) = 3(1/2(x-4))^4 + 2

b. h(x) = -2/5(3(x+1))^4 - 6

Sketch a graph of f(x) = x^7

a. Write the domain

b. Write the range

f(x)= 3(x-1)(x+2) / (x-4) (x+2)

f) state horizontal asymptotes

g) sketch of graph