A horizontal number line has its numbers getting larger as one moves to the right.Suppose a bug crawls along the number line, and its positionx(in centimeters) is a functionof timet. (in seconds)Sketched below is a graph of how the bug's velocity ( =dxdt) depends on time. (a) What is the bug's instantaneous velocity at timet%3 4 ? (b) On what time interval(s) is the bug moving to the left?(the position numbers are decreasing) (c) On what time interval (s) is the bug speeding up ?(the speed is increasing , where speed absolute value of the velocity) (d) On which time interval (s) is the bug's acceleration ( =dvdt) positive ? %3D V. = f(t) 1

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.