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.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

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.

Tags

CCSS.HSF.LE.B.5

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.

Tags

CCSS.HSF-IF.C.8B

Front

What does an exponential growth graph look like?

Back

An exponential growth graph rises steeply as x increases.

Tags

CCSS.HSF-IF.C.7E

Front

What does an exponential decay graph look like?

Back

An exponential decay graph falls steeply as x increases.

Tags

CCSS.HSF-IF.C.7E

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.

Tags

CCSS.HSF.LE.A.2

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.

Tags

CCSS.HSF-IF.C.8B

Front

What is the domain of an exponential function?

Back

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