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Review Topics: Midterm will cover 1.1, 1.2, 1.4, 1.5, 1.6, 1.7, 1.8, & 1.9 Things to know… ! ! ! ! Calculate distance and midpoint (these formulas will be provided on the midterm) Calculate average rate of change Functions: o Recognize if a graph (equation, table, picture, …) represents a function o Be able to find the (implied) domain and range of a function from a graph or equation o Identify if a function is even, odd or neither from a graph or equation o Be able to simplify a difference quotient o Be able to find the sum, difference, product, quotient, or composition of functions o Identify 2 functions that are used in a simplified composition of functions [ex. Given h(x); find f and g so that h(x)=f(g(x))] o Be able to calculate the inverse of a function Graphing: o Know the 9 parent functions (constant, identity, absolute value, reciprocal, quadratic, cubic, square root, cube root, and greatest integer functions) o Know the standard equation of a circle and how to use “this formula” to write the equation of a circle in standard form given information about the circle o Be able to identify & describe transformations (shift, reflection, and stretch/shrink) from an equation or graph of a function o Be able to sketch the graph of a function (that is related to the 9 parent functions) this includes piecewise functions o Identify intervals when a function is increasing, decreasing, or constant from a graph of a function o Find the x-intercept(s) and y-intercept(s) from a graph or equation o Identify symmetries (x-axis, y-axis, origin, or none) from a graph or equation o Write the equation of a function given the graph