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Think about the function rule that relates a square's area to its side length. Are there any restricted values?
Is the Graph Continous or Discrete? Continuous
Explanation: See solution.
A=s* s ⇔ A=s^2 Since the side lengths must be positive, the area of the square is also positive. The side length and the area can be any positive real number.
We can also think about this without really considering the actual function. When functions are discrete, it is usually because some sort of input would cause the function to not make sense.
Let's think about buying pizzas. We can only buy whole pizzas, or maybe slices. Either way, there are specific values that make sense. The total cost C for buying p pizzas would be a discrete function. C as a function ofp For this function, the possible values for p are 1, 2, 3, ... Therefore, its graph is formed by isolated points.
A square can be any size depending on its side length. This means that the area A of a square depends on its side length s. A as a function ofs Considering a positive length, the possible values for s can be any positive real number, like 1.258383, or 24.57. We can calculate the area the same way as usual. Therefore, its graph is unbroken. Therefore, the function is continuous.