Exponential Functions Flashcard

Front

What is an exponential function?

Back

A function of the form f(x) = b^x where b > 0 and b ≠ 1

Front

Which of the following is an example of an exponential equation?
Options: y = mx + b, y = 2x + 3, 3^x = 81, x^2 + 4 = 0

Back

3^x = 81

Front

What is the range of the function f(x) = 2^x? Options: Only zero, All negative real numbers, All positive real numbers, All real numbers

Back

All positive real numbers

Front

Which inequality represents an exponential inequality? Options: 2^x < 16, x + 3 = 5, x^2 - 4 < 0, y = 3x^2

Back

2^x < 16

Front

What happens to the graph of an exponential function as x approaches negative infinity?

Back

It approaches zero

Front

Which of the following is NOT an exponential function? k(x) = (1/2)^x, f(x) = 3^x, g(x) = 5^x + 1, h(x) = x^3

Back

h(x) = x^3

Front

What is the domain of the function f(x) = (1/3)^x?

Back

All real numbers

Front

Which of the following statements is true about exponential inequalities?

Back

They can be represented graphically with a shaded region

Front

What is the correct form of an exponential function?

Back

f(x) = b^x where b > 0 and b ≠ 1

Front

Which of the following represents an exponential function? y = x^2, y = 5x, y = 2x + 1, y = 4^x

Back

y = 4^x