Consider the function $y=0.68\left(1.6\right)^x$y=0.68(1.6)x.
Identify what type of function this is:
Exponential growth
Exponential decay
What is the rate of growth?
Consider the function $y=0.98\left(0.2\right)^x$y=0.98(0.2)x.
The local rat population numbers approximately $750$750 and is increasing at a rate of $3%$3% per year.
Luigi purchased a sculpture for $\$2900$$2900, and it is expected to increase in value by $9%$9% per year.
Interpret quadratic and exponential expressions that represent a quantity in terms of its context.
Use the properties of exponents to transform expressions for exponential functions.
Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.
Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.
Use the process of factoring and completing the square in a quadratic function to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a context.
Use the properties of exponents to interpret expressions for exponential functions.
Write a quadratic or exponential function that describes a relationship between two quantities.
Determine an explicit expression, a recursive process, or steps for calculation from a context.