Graph the following piecewise function.

Shown below

A piecewise function is a function defined by two or more equations. In this problem, we have a function defined by two equations.

First, a quadratic equation:

This is a parabola that opens upward and starts at the point and whose vertex is the point . Keep in mind that is included in the domain of the function, and we know this by the symbol ≤ that includes the equality.

Second, a linear equation:

The graph of this is a linear function with slope and starts at the point . Keep in mind that is included in the domain of the function by the same symbol ≤

Moreover, at there is a jump discontinuity.

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.

step-by-step explanation:

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