Analyzing a Graph
The graphs below give examples for each parent function we have studied this year. For each graph, identify the function type and the general form of the parent function’s equation; then offer general observations on the key features of the graph that helped you identify the function type. (Function types include linear, quadratic, exponential, square root, cube root, cubic, absolute value, and other piecewise functions. Key features may include the overall shape of the graph, 𝑥- and 𝑦-intercepts, symmetry, a vertex, end behavior, domain and range values or restrictions, and average rates of change over an interval.)
Eduardo has a summer job that pays him a certain rate for the first 40 hours each week and time-and-a-half for any overtime hours. The graph below shows how much money he earns as a function of the hours he works in one week.
For each graph below use the questions and identified ordered pairs to help you formulate an equation to represent it.
2. Function type:
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