Mixed Practice B

Strengthen deeper reasoning about function features and context limits.

This set uses more layered decisions about domain restrictions, range restrictions, graph tests, rates, and long-term behavior.

How to use this set

When choices feel close, ask whether the statement matches the representation and the real-world context.

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Set Focus

Deeper mixed function review

These items build stamina with EOC-style function reasoning.

Domain limits

Use context to decide reasonable inputs.

Feature forms

Choose forms that reveal zeros, vertices, or rates.

Average rate

Compare output change to input change.

End behavior

Judge long-term growth across function families.

Practice Questions

Mixed Review B

Check your answer first, then reveal the explanation when you want the model.

Question 1

Domain restriction

A function gives the area of a square with side length s. Which domain is most reasonable?

Question 2

Range restriction

For the square area function A(s)=s^2 with s\ge 0, which range is most reasonable?

Question 3

Graph function test

The graph includes points (2,1), (2,4), and (3,5). What conclusion is correct?

Relation

Question 4

Compare forms

Which form is most helpful for finding the zeros of a quadratic function?

Question 5

Average rate

A function has values f(1)=8 and f(5)=20. What is the average rate of change from x=1 to x=5?

Question 6

Compare rate and value

Function A is A(x)=4x+9. Function B is B(x)=9x+4. Which statement is true?

Question 7

Interpret key feature

A company's profit is modeled by a downward-opening quadratic. The vertex is (50,1200). What does this mean?

Question 8

Function family comparison

Which table best represents a linear function?

Question 9

Compare representations

Function A is A(x)=2(x-1)^2+3. Function B has minimum value 5. Which function has the smaller minimum?

Question 10

End behavior comparison

Function A is A(x)=6x+100. Function B is B(x)=100(1.5)^x. Which statement is most reasonable as x becomes large?

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