The family of curves represented by the equation y = e^(kx) is classified as:
Practice Questions
1 question
Q1
The family of curves represented by the equation y = e^(kx) is classified as:
Linear
Polynomial
Exponential
Logarithmic
The equation y = e^(kx) represents an exponential function.
Questions & Step-by-step Solutions
1 item
Q
Q: The family of curves represented by the equation y = e^(kx) is classified as:
Solution: The equation y = e^(kx) represents an exponential function.
Steps: 5
Step 1: Identify the equation given, which is y = e^(kx).
Step 2: Recognize that 'e' is a constant (approximately 2.718) and 'k' is a variable that can change.
Step 3: Understand that the expression e^(kx) means 'e' raised to the power of 'kx'.
Step 4: Note that this type of equation shows how 'y' changes as 'x' changes, which is characteristic of exponential functions.
Step 5: Conclude that since the equation is in the form of y = a^(bx), where 'a' is a constant and 'b' is a variable, it is classified as an exponential function.
