Standards with the same topic and subject but for other grades
construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).
distinguish between situations that can be modeled with linear functions and with exponential functions.
prove that linear functions grow by equal differences over equal intervals; exponential functions grow by equal factors over equal intervals.
interpret the parameters in a linear or exponential function in terms of a context.
write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.
recognize situations in which one quantity changes at a constant rate per unit interval relative to another.
observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function.
graph linear and quadratic functions and show intercepts, maxima, and minima.