NAME:

1. Let a particle's position be the point (x,y), where (3 plus 1.2 to the t power, not 1.2 times t) and (again, its 1.3 to the t power, not 1.3 times t) for t = -2 to 10.

a) Where is the particle at t = -2?

b) Where is the particle at t = 0?

c) Sketch a well labeled graph of the particle's position for t = -2 to 10, indicating with an arrow the direction of travel.

d) Solve for t.

e) When (meaning for what t-value) does the particle have an x coordinate equal to 6?

2. Let f(x) = 3*(1.4^x) and g(x) = 10*x^4.

a) For large values of x, which is larger f(x) or g(x)? How do you know?

b) How many solutions does f(x) = g(x) have? Estimate the largest such value of x to one decimal place.

c) Show that = 1.4^0.2

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