Graphing Exponential Functions: Key Concepts and Techniques

What is the traditional way to start graphing any function?

• Calculate the slope

• Plug in values for X

• Plug in values for Y

• Draw the axis first

What is the value of any number raised to the power of zero?

• Zero

• The number itself

• One

• Infinity

What happens to a number when it is raised to a negative exponent?

• It becomes zero

• It becomes a fraction

• It becomes negative

• It remains the same

Why can Y never be negative in an exponential function?

• Because the base is always positive

• Because the function is undefined for negative Y

• Because X is always positive

• Because negative exponents make the value positive

What is the domain of an exponential function?

• Only integers

• All real numbers

• All negative numbers

• All positive numbers

What is the range of an exponential function?

• All real numbers

• All positive numbers

• All negative numbers

• All integers

What is exponential decay?

• When a function grows rapidly

• When a function declines rapidly

• When a function remains constant

• When a function oscillates

How can you tell if a function is experiencing exponential decay?

• The base is greater than 1

• The base is less than 1

• The exponent is positive

• The exponent is negative

What is the first step in solving an exponential equation?

• Graph the function

• Find the base

• Find the exponent

• Plug in the first point

What is the equation of an exponential function that passes through the points (0, 3) and (1, 15)?

• y = 5 * 3^x

• y = 15 * 3^x

• y = 3x + 15

• y = 3 * 5^x