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1. What is the base of an exponential function?
A
The variable in the equation.
B
The maximum value of the function.
C
The constant value raised to a power.
2. In the expression 2^x, what does 'x' represent?
A
The exponent or power.
B
The coefficient of the function.
C
The base of the function.
3. Which of the following is an example of exponential growth?
A
Linear increase in sales.
B
Constant temperature over time.
C
Population growth in a favorable environment.
4. What is the general form of an exponential function?
A
f(x) = mx + b.
B
f(x) = a * b^x.
C
f(x) = ax^2 + bx + c.
5. What happens to the value of an exponential function as x approaches infinity?
A
It decreases steadily.
B
It remains constant.
C
It increases rapidly.
6. Which of the following describes exponential decay?
A
An increase in quantity over time.
B
A constant decrease over time.
C
A decrease in quantity at a rate proportional to its current value.
7. What is the value of 3^0?
A
3.
B
1.
C
0.
8. In finance, what does 'exponential growth' refer to?
A
The increase of an investment over time due to compound interest.
B
A steady increase in savings.
C
A decrease in debt over time.
9. What is the derivative of an exponential function?
A
It is zero.
B
It is a constant value.
C
It is proportional to the function itself.
10. Which mathematical constant is often used in exponential functions?
A
φ (the golden ratio).
B
π (approximately 3.14).
C
e (approximately 2.718).