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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.