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}

Tags

CCSS.HSF.LE.A.2

Front

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

Back

Y-INTERCEPT

Tags

CCSS.HSF.LE.B.5

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}

Tags

CCSS.HSF.LE.A.2

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

Tags

CCSS.HSF-IF.C.7D

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.

Tags

CCSS.HSF-IF.C.8B

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.

Tags

CCSS.HSF-IF.C.8B

Front

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

Back

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

Tags

CCSS.HSF-IF.C.8B