Exponential Functions Quiz

What is the definition of an exponential function?

• A function where the base is a constant and the exponent is a variable.

• A function where the exponent is a constant and the base is a variable.

• A function where neither the base nor the exponent is a constant.

• A function where both the base and the exponent are constants.

When graphing the function f(x) = 3^x, what is the y-value when x = 0?

• 3

• 1

• 9

• 0

What happens to the y-values of the function f(x) = 3^x as x approaches negative infinity?

• They become negative.

• They remain constant.

• They approach infinity.

• They approach zero.

How does the graph of g(x) = (1/3)^x compare to f(x) = 3^x?

• It is a vertical stretch of f(x).

• It is identical to f(x).

• It is a horizontal shift of f(x).

• It is a reflection over the y-axis of f(x).

What is the range of the function g(x) = (1/3)^x?

• All negative numbers

• All positive numbers

• All numbers greater than zero

• All real numbers

In the equation 2^x = 8, what is the value of x?

• 3

• 2

• 4

• 5

What is the key concept used to solve the equation 2^x = 8?

• Equating the exponents

• Using derivatives

• Using logarithms

• Equating the bases

When solving the inequality 2^x > 8 graphically, what are we looking for?

• Where the graph intersects the y-axis

• Where the graph is above the x-axis

• Where the graph is tangent to the x-axis

• Where the graph is below the x-axis

In the inequality 2^x < 8, what is the solution set for x?

• x ≠ 3

• x = 3

• x < 3

• x > 3

What method can be used to solve exponential inequalities graphically?

• Using a number line

• Using algebraic manipulation

• Using a graphing calculator

• Using a T-chart