The general form of the family of exponential curves is given by:

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Question: The general form of the family of exponential curves is given by:

Options:

Correct Answer: y = a^x

Solution:

The equation y = a^x represents an exponential function where a is a constant.

The general form of the family of exponential curves is given by:

The general form of the family of exponential curves is given by:

Step 1: Understand that an exponential function is a mathematical expression where a constant is raised to a variable exponent.
Step 2: Identify the general form of the exponential function, which is y = a^x.
Step 3: Recognize that 'a' is a constant that determines the base of the exponential function.
Step 4: Note that 'x' is the variable that can change, affecting the value of 'y'.
Step 5: Realize that this form can represent different exponential curves depending on the value of 'a'.

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