The function s(t) describes the motion of a particle along a line. s(t) = 4t – t2 (a) Find the velocity function v(e) of the particle at any time t > 0. v(t) (b) Identify the time interval in which the particle is moving in a positive direction. (0, 0) (0, 2) (0, 4) (4, 0) (2, ∞) None (c) Identify the time interval in which the particle is moving in a negative direction. (0, 0) (0, 2) (0, 4) (4, ∞) (2, ∞0) None (d) Identify the time at which the particle changes direction. t =

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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.