Which of the following is an exponential function?

(1 point)

y = 3x

y = 2x - 4

y = x ^ 3

y = 3 + 5 ^ z

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

An exponential function is typically of the form \( y = a \cdot b^x \), where \( a \) is a constant, \( b \) is a positive constant, and \( x \) is the variable.

From the options provided:

  1. \( y = 3x \) - This is a linear function.
  2. \( y = 2x - 4 \) - This is also a linear function.
  3. \( y = x^3 \) - This is a polynomial function.
  4. \( y = 3 + 5^z \) - This is an exponential function because it involves a constant added to an exponential term \( 5^z \).

Thus, the exponential function from the options given is \( y = 3 + 5^z \).