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Prerequisite Assignment: MyMathLab® Study Plan for Final Examination

1. Click the Exam tab.
2. Click External Content Launch to access MyMathLab®.
3. After earning at least 60% of the Mastery Points in the MyMathLab® Study Plan for Final Examination, complete the Final Examination in MyMathLab®.

Important Note: It is highly recommended that you earn all of the possible Mastery Points in the MyMathLab® Study Plan for Final Examination. The Final Exam is 45 questions in length. Students have 1 attempt to complete the Final Exam and do not have access to the Help Me Solve This or View an Example features.

MTH 220 Week 5 Final Exam

Solve for x using the quadratic formula.

Evaluate the function at the given values of the independent variable and simplify.

Use the graph of f to determine each of the following.

(a) the domain of f

(b) the range of f

(c) the zero(s) of f

(d) f left parenthesis 4 right parenthesis

(e) the intervals on which f is increasing

(f) the intervals on which f is decreasing

(g) the values for which

f(x)less than or equals0

(h) any relative maxima or minima

(i) the value(s) of x for which f left parenthesis x right parenthesis equals 4

(j) Is f left parenthesis 3 right parenthesispositive or negative?

Give the slope and y-intercept of the line whose equation is given below. Then graph the linear function.

Use the given conditions to write an equation for the line in point-slope form and in slope-intercept form.

Find the average rate of change of the function

Use the graph of y =f (x) to graph the function

Begin by graphing the absolute value function, f (x)=|x|. Then use transformations of this graph to graph the given function.

For f(x)=x+4 and g(x)=2x+1, find the following functions.

The function f (x)=x^3+6 is one-to-one. Find an equation for f-1(x), the inverse function.

Find the midpoint of the line segment whose endpoints are given.

Use the graph of the rational function to complete the following statement.

Find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the graph of the rational function.

Find the horizontal asymptote, if any, of the graph of the rational function.

The function f models the pH level, f(x), of a mouth x minutes after eating food containing sugar. The graph of this function is shown to the right. Complete parts (a) through (e).

Graph the following function by making a table of coordinates. If applicable, use a graphing utility to confirm your hand-drawn graph.

Use transformations of the graph of f =3^x to graph the function g(x) given below. Graph and give the equation of the asymptote. Use the graph to determine the domain and range of g(x).

Evaluate the following expression without using a calculator.

Evaluate the following expression without using a calculator.

Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Evaluate logarithmic expressions if possible.

The loudness level of a sound can be expressed by comparing the sound’s intensity to the intensity of a sound barely audible to the human ear. The formula

Upper D equals 10 left parenthesis log Upper I minus log Upper I 0 right parenthesis

describes the loudness level of a sound, D, in decibels, where I is the intensity of the sound, in watts per meter squared commaand Upper I 0 is the intensity of a sound barely audible to the human ear. Use this information to answer parts (a) and (b) below.

Solve the following exponential equation by expressing each side as a power of the same base and then equating exponents.

Complete the table shown to the right for the population growth model for a certain country.

Solve the system by the substitution method.

Solve the system by the addition method.

Solve the system by the method of your choice.

Use the graphs of the linear functions on the right. Write the linear system whose solution set is

{(3,negative 1)}. Express each equation in the system in slope-intercept form.

Solve the system by the substitution method.

Graph the following inequality.

Graph the given system of inequalities.

Solve the system using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination.

Find the following matrices where A= B=

Solve the matrix equation B-X=2A   for X.

The sequence given is defined using a recursion formula. Write the first four terms of the sequence.

Evaluate the factorial expression.

Find the indicated sum.

Write the first six terms of the arithmetic sequence with the given first term, a 1, and common difference, d.

Write a formula for the general term (the nth term) of the arithmetic sequence shown below. Do not use a recursion formula. Then use the formula for An to find a20 ,the 20 th term of the sequence.

Find 1plus2plus3plus4plus…plus30, the sum of the first 30natural numbers.

Company A pays $24 comma 000yearly with raises of $1 comma 400per year. Company B pays $ 28 comma 500yearly with raises of $850 per year. Which company will pay more in year 10? How much more?

Write the first five terms of the geometric sequence whose first term is 32, and whose common ratio is

Find the sum of the first 14 terms of the geometric sequence shown below.

The general term of a sequence is given. Determine whether the sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, find the common difference; if it is geometric, find the common ratio.

A job pays a salary of $15 comma 000 the first year. During the next 11years, the salary increases by 7% each year. What is the total lifetime salary over the 12-year period?