Exponential Regression update

Front

What is the exponential function for a savings account opened with $400 that gains 3% every year?

Back

f(x)=400(1+0.03)^{x}

Front

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

Back

Y-INTERCEPT

Front

What function can be used to determine the number of deer in a population of 1500 that decreases by 1.5% per year?

Back

y = 1500(1 - 0.015)^{t}

Front

What type of function is y = 7(5/4)^{x}?

Back

Exponential Growth

Front

What is the term for an invisible line that an equation cannot cross?

Back

Asymptote

Front

What is the general form of an exponential function?

Back

f(x) = a(1 + r)^{x} for growth, f(x) = a(1 - r)^{x} for decay.

Front

What does the 'r' represent in the exponential function?

Back

The rate of growth or decay.

Front

How do you determine if a function is exponential?

Back

If it can be expressed in the form f(x) = a(b)^{x} where b > 0 and b ≠ 1.

Front

What is the difference between exponential growth and exponential decay?

Back

Exponential growth increases over time, while exponential decay decreases over time.

Front

What is the value of the function f(x) = 200(1 + 0.05)^{3}?

Back

f(3) = 200(1.05)^{3} = 231.52.