The family of curves defined by the equation y = e^(kx) is classified as:
Practice Questions
Q1
The family of curves defined by the equation y = e^(kx) is classified as:
Linear
Exponential
Logarithmic
Polynomial
Questions & Step-by-Step Solutions
The family of curves defined by the equation y = e^(kx) is classified as:
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 'x' is the input variable, and as 'x' changes, the value of 'y' will change based on the value of 'k'.
Step 4: Note that the term 'e^(kx)' indicates that the function grows or decays exponentially depending on the value of 'k'.
Step 5: Conclude that since the equation represents a curve that can take different shapes based on 'k', it is classified as a family of exponential curves.
