Provide an appropriate response.Without using a calculator, explain why 2? must be greater than 8 but less than 16.

What will be an ideal response?


Since 3 < ? < 4, 23 < 2? < 24; that is 2? is greater than 23 (or 8), but less than 24 (or 16). This is true because 2x is an increasing function.

Mathematics

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A.
B.
C.
D.

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Find the vertex and axis of symmetry of the graph of the function.f(x) = -3x2 - 2x - 7

A. ; x = - 
B. (3, -7); x = 3
C. ; x = -3
D. ; x = 

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Write true or false for the statement.All angles in an equilateral triangle are less than 90°.

A. True B. False

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Use rational exponents to simplify the expression, if possible. Then, write the answer in radical form. ? 

A.
B.
C.
D.

Mathematics