Understanding Exponential Functions

What is the effect of the multiplier b on the graph of the function y = b^x when b = 1/2?

• The graph increases as x increases.

• The graph is a straight line.

• The graph remains constant.

• The graph decreases as x increases.

For the function y = 2^x, what is the range of the function?

• All real numbers

• y = 0

• y > 0

• y < 0

How does the graph of y = 1/3^x behave as x increases?

• It increases.

• It decreases.

• It remains constant.

• It oscillates.

What happens to the graph of y = 3^x compared to y = 2^x?

• It remains the same.

• It increases faster.

• It decreases faster.

• It decreases slower.

What is the result of y = 1^x for any value of x?

• y = 0

• y = 1

• y = -1

• y = x

Why does y = 0^x result in an error for negative exponents?

• Because it results in a positive number.

• Because it results in a negative number.

• Because it results in division by zero.

• Because 0 cannot be raised to any power.

What must be true for the multiplier b in an exponential function?

• b must be less than zero.

• b must be greater than zero.

• b must be equal to zero.

• b can be any real number.

What is a horizontal asymptote in the context of exponential functions?

• A line that the graph oscillates around.

• A line that the graph touches once.

• A line that the graph crosses.

• A line that the graph never touches.

How can you identify the initial value from a table of an exponential function?

• It is the y-value when x equals zero.

• It is the average of all y-values.

• It is the first y-value in the table.

• It is the last y-value in the table.

What does the term 'doubles' indicate in the context of exponential functions?

• The function decreases.

• The graph is a straight line.

• The multiplier is 2.

• The initial value is doubled.