Exponential Functions Quiz

What is the general form of an exponential function?

• f(x) = a / b^x

• f(x) = a * b^x

• f(x) = a + b^x

• f(x) = a - b^x

Which of the following is NOT a condition for the base 'b' in an exponential function?

• b must not be equal to 1

• b can be a negative number

• b must be a real number

• b must be a positive number

Why is the function G(x) = 6x^(-4) not considered an exponential function?

• The exponent is negative

• The exponent is a variable

• The base is a constant

• The base is a variable

In the function H(x) = 7 * 2^(-x), what is the initial value?

• 2

• 14

• 1/2

• 7

What is the value of f(0) for the function f(x) = 2^x?

• Undefined

• 2

• 1

• 0

How do you rewrite 2^(-3) using positive exponents?

• 2^(-3)

• 1/2^(-3)

• 2^3

• 1/2^3

If G(x) = 4 * 3^x, what is the base value?

• 12

• 7

• 3

• 4

What is the growth factor in an exponential growth model?

• The initial value

• The decay factor

• The base value greater than 1

• The exponent

What transformation does f(x) = 2^(x-1) represent?

• Vertical stretch

• Horizontal shift to the left

• Horizontal shift to the right

• Reflection over the y-axis

What does a negative exponent in an exponential function indicate?

• A reflection over the x-axis

• A reflection over the y-axis

• A horizontal shift

• A vertical stretch