The function is discontinuous at x 5 0, 1, and 2 because there is a break in the function at each of these points.
2Ĭombine the relations into a piecewise function. Use an algebraic model to represent the function for parking fees.Ġ, if x 5 0 5, if 0, x # 1 f (x) 5 μ 12.50, if 1, x # 2 3x 1 13, if x. Representing the problem using an algebraic model Piecewise function a function defined by using two or more rules on two or more intervals as a result, the graph is made up of two or more pieces of similar or different functionsĮach part of a piecewise function can be described using a specific equation for the interval of the domain. The last part of the graph continues in a straight line since the rate of change is constant after 2 h. There is a closed dot at (2, 12.50) and an open dot at (2, 13) because the parking fee at 2 h is $12.50. The function is linear over the domain, but it is discontinuous at x 5 0, 1, and 2. The domain of this piecewise function is x $ 0. There is a closed dot at (1, 5) and an open dot at (1, 12.50) because the parking fee at 1 h is $5.00. There is a solid dot at (0, 0) and an open dot at (0, 5) because the parking fee at 0 h is $0.00. Use an open dot to exclude a value from an interval. Use a solid dot to include a value in an interval. Use a graphical model to represent the function for parking fees.ġ.6 Plot the points in the table of values. Representing the problem using a graphical model
#GRAPH A PIECEWISE FUNCTION PLUS#
A flat rate of $13 plus $3 per hour for each hour after 2 h How can you describe the function for parking fees in terms of the number of hours parked?.A flat rate of $12.50 for any amount of time over 1 h and up to and including 2 h.A flat rate of $5.00 for any amount of time up to and including the first hour.LEARN ABOUT the Math A city parking lot uses the following rules to calculate parking fees: Understand, interpret, and graph situations that are described by piecewise functions.
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