MATH 110 Palomar Write an Equation of Horizontal Asymptote of K Algebra Questions

attached is the 13 algebra problems I need solved. It is over chapters 2 and 3 of algebra 110

Save Time On Research and Writing
Hire a Pro to Write You a 100% Plagiarism-Free Paper.
Get My Paper

Palomar College
Exam 2 of MATH 110 – 72586
Due by October 25th at 11:59 p.m.
Student’s Name:
Instructions: Show all your work for full credit. Indicate your answers clearly.
Problem 1. Let f (x) = 8×3 − 18×2 − 11x + 15.
(i) (5 pts) Factor f (x), given that
3
4
is a zero.
(ii) (2 pts) Solve, algebraically, f (x) = 0.
Problem 2. (5 pts) Determine whether the two functions g(x) = (x − 5)3 and h(x) =
are inverses.

3
x+5
2
Problem 3. (5 pts each) Solve, algebraically, each of the following two inequalities.
3−t
≥1
(i) (20 − x − x2 )(x + 2) ≤ 0
(ii)
5+t
Problem 4. (2 pts) Given P (x) = −3×5 + 2×4 + 6×2 − x + 4, use the Remainder Theorem to
determine the remainder when P (x) is divided by x − 2.
Z Note that you are not allowed to use another approach to solve this problem.
3
Problem 5.
(a) (1 pt) Graph v(x) = |x| − 3; x ≤ 0.
(b) (1 pt) Is v a one-to-one function? Justify your answer.
(c) (1 pt) What is the domain of v?
(d) (1 pt) What is the range of v?
(e) (2 pts) Find an equation for v −1 , the inverse of v.
(f ) (1 pt) What is the domain of v −1 ?
(g) (1 pt) What is the range of v −1 ?
(h) (1 pt) Graph the function v −1 .
4
Problem 6. (3 pts) Use long division to divide
6×4 + 3×3 − 7×2 + 6x − 5
.
−3 + x + 2×2
Problem 7. (4 pts each) The population in California P (t) (in millions) can be approximated
by the logistic growth function
P (t) =
95.2
1 + 1.8e−0.018t
where t is the number of years since the year 2000.
(i) Determine the population in the year 2000.
(ii) What is the limiting value of the population of California (i.e., as t −→ +∞) under this
model?
5
Problem 8. (5 pts each) Find the solution set of each of the following six equations.
(i) x2 e2x + 2xe2x = 8e2x
(ii) e2x − 6ex − 16 = 0
(iii) ln x + ln(x − 3) = ln(5x − 7)
6
(iv) log4 x − log4 (x − 1) =
(v) 41−x = 32x+5
 
1
(vi) 2x ln
−x=0
x
1
2
7
Problem 9. (5 pts each) Find the domain of the each of the following two functions.
t−1
(a) f (t) = π + log8 √
8−t
(b) g(x) = ln(x2 − x)
8
Problem 10. (5 pts) Find the domain, x-intercept, and vertical asymptote of the logarithmic
function f (x) = − log 1 (x + 2) and sketch its graph.
6
Problem 11. (2 pts) Find the integer that is represented by the following logarithmic expression.
log2 48 − log2 6
Problem 12. (4 pts) Condense the expression to the logarithm of a single quantity.
i
1h
log7 t + 3 log7 (1 − t) − log7 (7 + t)
4
9
Problem 13.
(a) (2 pts) Use transformations of the graph of y = ex to graph the function k(x) = −ex +4.
(b) (1 pt each) What are the domain and the range of k?
(c) (1 pt) Write an equation of the horizontal asymptote of k.

Are you stuck with your online class?
Get help from our team of writers!

Order your essay today and save 20% with the discount code RAPID