IM 1 Chapter 6 Flashcard

Front

What is the y-intercept of the function y=3^x?

Back

1

Front

In an exponential function, what does the 'a' represent?

Back

Y-INTERCEPT

Front

Which equation matches the graph of an exponential function?

Back

y = 2^x

Front

What is the common ratio for the sequence: 28, 14, 7, 3.5...?

Back

1/2

Front

Is the graph of y = 2^x linear, exponential, or neither?

Back

Exponential

Front

What is the general form of an exponential function?

Back

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

Front

How do you find the y-intercept of an exponential function?

Back

Set x = 0 and solve for y.

Front

What does the base 'b' in an exponential function represent?

Back

The growth or decay factor.

Front

What is the difference between linear and exponential growth?

Back

Linear growth increases by a constant amount, while exponential growth increases by a constant percentage.

Front

What is the formula for the common ratio in a geometric sequence?

Back

Common ratio = a(n+1) / a(n), where a(n) is the nth term.