Algebra C&C EOC Vocabulary

Front

What is the y-intercept of the function f(x)=2(4)^x?

Back

The y-intercept (initial value) is 2.

Front

What type of function is y=120(1.86)^x?

Back

It is a Growth function.

Front

Is the function f(x)=18(1.04)^x an exponential growth or decay function?

Back

It is an exponential growth function.

Front

What characterizes exponential decay?

Back

Exponential decay occurs when the rate is smaller than one.

Front

What is the axis of symmetry for a vertex (x, y)?

Back

The axis of symmetry is the line x.

Front

Define an exponential function.

Back

An exponential function is a mathematical function of the form f(x) = a(b)^x, where a is a constant, b is a positive real number, and x is the variable.

Front

What is the general form of an exponential growth function?

Back

The general form is f(x) = a(b)^x where b > 1.

Front

What is the general form of an exponential decay function?

Back

The general form is f(x) = a(b)^x where 0 < b < 1.

Front

How do you find the initial value in an exponential function?

Back

The initial value is found by evaluating the function at x=0.

Front

What does the base of an exponential function indicate?

Back

The base indicates the growth or decay factor; if b > 1, it indicates growth; if 0 < b < 1, it indicates decay.