Grade 11 Mathematics Quiz: Power Functions

Instructions:

Answer all questions to the best of your ability.
Each question may contain multiple choice answers or require a direct response.
Circle or highlight your answer where indicated.

1. What is the general form of a power function?

A. ( f(x) = ax + b )
B. ( f(x) = ax^n )
C. ( f(x) = a\sqrt{x} )
D. ( f(x) = a \cdot 2^x )

2. If ( f(x) = 3x^4 ), what is the value of ( f(2) )?

Provide the numerical answer below:
Answer: __

3. Which of the following is NOT a characteristic of the graph of a power function where the exponent is an even integer?

A. The graph is symmetric with respect to the y-axis.
B. It has a minimum point.
C. The graph intersects the x-axis at one point.
D. The ends of the graph are both pointing upwards.

4. If the power function ( g(x) = -2x^3 ) is graphed, what is the end behavior of the function as ( x ) approaches infinity?

Provide the description of the end behavior below:
Answer: __

5. Which of the following describes the behavior of the power function ( h(x) = x^{-2} ) as ( x ) approaches 0?

A. The function approaches positive infinity.
B. The function approaches negative infinity.
C. The function approaches 1.
D. The function approaches 0.

What to create	Quiz
Which subject	Mathematics
What age group	Year or Grade 11
What topic	Power functions
Question types	Mixed
Number of questions	5
Number of answers	4
Correct answers	Exactly 1
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