Math 2F Flashcard 2

Front

What is an asymptote?

Back

A line that continually approaches a given curve but does not meet it at any finite distance.

Front

Which equation represents an exponential function?

Back

y = 2^x

Front

What does it mean for a relation to be a function?

Back

Each input has exactly one output.

Front

What is the general form of an exponential function?

Back

y = a * b^x, where a is a constant and b is the base.

Front

What is the horizontal asymptote of the function y = 2^x?

Back

y = 0

Front

How do you identify a function from a graph?

Back

Use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the range of the function y = 2^x?

Back

(0, ∞) - all positive real numbers.

Front

What is the domain of the function y = 2^x?

Back

(-∞, ∞) - all real numbers.

Front

What does the graph of y = 2^x look like?

Back

It is an increasing curve that approaches the x-axis but never touches it.

Front

What is the y-intercept of the function y = 2^x?

Back

(0, 1) - when x = 0, y = 2^0 = 1.