Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. A) Graph linear and quadratic functions and show intercepts, maxima, and minima. B) Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions. C) Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior. D) (+) Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior. E) Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.
Interpret expressions that represent a quantity in terms of its context. a) Interpret parts of an expression, such as terms, factors, and coefficients. b) Interpret complicated expressions by viewing one or more of their parts as a single entry. For example, interpret P(1 + r)^n as the product of P and a factor not depending on P.
Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.
Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x).