Alg2.4 Exponential Functions and Equations
- I understand how to calculate values that are changing exponentially.
- I understand that exponential functions change by equal factors over equal intervals.
- I can determine the value of exponential functions at non-whole number inputs.
- I understand how to calculate a growth or decay factor of an exponential function for different input intervals.
- I can explain why an exponential function changes by the same factor over equal intervals, even when those intervals are not whole numbers.
- I can write equations for exponential functions from two input-output pairs, even when the input pairs are not one unit apart.
- I can use the half-life of elements to calculate how much of the element remains over time.
- I can approximate the value of unknown exponents.
- I understand that a logarithm is a way to represent an exponent in an exponential equation.
- I understand how to evaluate a logarithmic expression.
- I can use known values of logarithms to estimate the value of other logarithms.
- I can use technology to determine the value of a logarithm.
- I know that $e$ is an irrational constant, like $\pi$, that has a value of about 2.718.
- I understand that $e$ is used in exponential models when we assume the growth rate is applied at every moment.
- I can solve simple exponential equations using logarithms.
- I can solve exponential equations using logs or by graphing
- I can calculate where two exponential graphs meet using logarithms.
- I can interpret the intersection of the graphs of two exponential functions in context.
- I can interpret logarithmic functions in context.
- I understand how logarithms are used to measure things like acidity and the intensity of earthquakes.