algebra quiz help

Quiz 5 - SPRING 2016 - MATH 107 - COLLEGE ALGEBRA

University of Maryland University College

SPRING 2016, MATH 107

Quiz 5

Prof. Minhtri Ho

Problem 1:

Find the degree, the leading term, the leading coefficient, the constant term and the end

behavior of the given polynomial.

f(x) = 4x5 −x2 + 2x + 5

Problem 2:

Find the domain of the following rational function. Write it in the form p(x) q(x)

for polynomial

functions p and q and simplify:

f(x) = 1 − 3

x + 1

Problem 3:

Sketch a detailed graph of:

f(x) = 2x

x2 − 1

Problem 4:

Perform the indicated operation and simplify

10x(x− 3)−1 + 5x2(−1)(x− 3)−2

Problem 5:

Solve the rational equation. 2x

x + 3 = 5

SPRING 2016 - MATH 107 - COLLEGE ALGEBRA

Quiz 5 - SPRING 2016 - MATH 107 - COLLEGE ALGEBRA

Problem 6:

Let f(x) = x2 and g(x) = 1 + √ x. Find and simplify the indicated composite function.

Also, state the domain of the composite function.

(f ◦g)(x)

Problem 7:

Graph the function and use the Horizontal Line Test to check if the function is one-to-one:

f(x) = x2 − 2x + 2

Problem 8:

Perform the indicated operations and simplify:

3 √

64x14

Problem 9:

For the following function, state it domain and create sign diagram:

f(x) = x √ x− 1

Problem 10: Simplify the following:

log2

( 1 64

)

SPRING 2016 - MATH 107 - COLLEGE ALGEBRA