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Explain why a polynomial with real coefficients of degree 5 must have at least one real zero. 

Given , find

Solve the equation. Write the solution set with the exact values given in terms of natural or common logarithms. Also give approximate solutions to 4 decimal places, if necessary.

Graph the function on your submission paper. State the domain and range.  g(x) = – (x – 1)2 + 2

Write the domain in interval notation.  Show your work on your submission paper. 

Use the graph of y = 5x to graph the function f (x) = 5x – 5 on your submission paper. Also, state the domain and range in interval notation.

Solve the problem on your submission paper.  f (x) = a. Graph f (x)b. Write an equation for f -1(x)c. Write the domain of f -1 in interval notation

Isla is investing $1,500 now in a retirement account that has a rate of 5.5% compounded continuously.  Isla will not touch that money until retirement in 30 years.  How much money will be in the account at that time? 

Is the graph of

Use transformations to graph the function on your submission paper.  State the domain and range in interval notation.  State the equation of any asymptote.