Mathematical Modeling — Test Answers

24 verified answers

Which set describes the domain of P of h ?

start set P of h such that 0 is less than or equal to P of h comma P of h is less than or equal to 1,400 end set

start set h such that 0 is less than or equal to h comma h is less than or equal to 40 end set

start set P of h such that 0 is less than or equal to P of h comma P of h is less than or equal to 1,800 end set

start set h such that 0 is less than or equal to h comma h is less than or equal to 60 end set

Which statements describe the domain and range of g of x ? Choose two correct answers.

The domain of g of x is start set x such that negative 4 is less than or equal to x comma x is less than or equal to 3 end set .

The maximum value of the domain is 3 .

The maximum value of the range is 4 .

The function g of x is defined for all real numbers x .

The range of g of x is start set y such that negative 1 is less than y comma y is less than or equal to 4 end set .

What is the first step in which the student made an error?

Step 2, because the student should have graphed the inequalities y sub 1 is less than or equal to x minus 4 and y sub 2 is less than or equal to 1

Step 1, because the student should have written a compound statement with “and”

Step 4, because the solution is one continuous interval

Step 3, because the values for x for which y sub 1 is less than or equal to y sub 2 also include values between 3 and 5

For which x -values is the graph discontinuous?

start set dot dot dot minus 3 comma negative 2 comma negative 1 comma 0 comma 1 comma 2 comma 3 comma dot dot dot end set

start set dot dot dot minus 3 comma negative 1 comma 0 comma 1 comma 3 comma dot dot dot end set

start set dot dot dot minus 4 comma negative 2 comma 0 comma 2 comma 4 comma dot dot dot end set

start set dot dot dot minus 3 comma negative 1 comma 1 comma 3 comma dot dot dot end set

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