Exponential functions

Front

What is the value of b^0?

Back

1

Front

What is the y-intercept of the function y = mx + b?

Back

The y-intercept is the value of y when x = 0.

Front

What is the initial value in the exponential function y = a(b)^x?

Back

The initial value is 'a', which is the value of y when x = 0.

Front

What is the common ratio in the exponential function f(x) = a(b)^x?

Back

The common ratio is 'b', which represents the factor by which the function grows or decays.

Front

What does an exponential growth graph look like?

Back

An exponential growth graph rises steeply as x increases.

Front

What does an exponential decay graph look like?

Back

An exponential decay graph falls steeply as x increases.

Front

What is the general form of an exponential function?

Back

y = a(b)^x, where 'a' is the initial value and 'b' is the base.

Front

How do you identify exponential growth vs decay?

Back

If b > 1, it's growth; if 0 < b < 1, it's decay.

Front

What is the base in an exponential function?

Back

The base 'b' determines the rate of growth or decay.

Front

What is the domain of an exponential function?

Back

The domain is all real numbers, (-∞, ∞).