Graph the function and analyze it for domain, range, continuity, increasing or decreasing behavior, symmetry, boundedness, extrema, asymptotes, and end behavior.f(x) = 4 ? 3x
What will be an ideal response?
The domain is all real numbers, and the range is (0, ?). The function is continuous and increasing on its domain. The function is neither even nor odd. It is bounded below but not above. There are no local extrema. The horizontal asymptote is y = 0. The end behavior is described by 
and 
f(x) = ?.
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Solve the problem.Write an equation for the tangent line to the curve 
at the point 
A. 6x + 3y = 36 B. 3x + 6y = 36 C. 3x + 6y = 18 D. 6x + 3y = 18
Determine the phase shift of the function.y = 5 cos 
A. 
units to the right
B. ? units to the left
C. 5? units to the right
D. 
units to the left
Solve the problem.A school building has a height of 48 feet. Its shadow is currently 11.0 feet long, and the shadow of the church next door is 19.5 feet long. Use similar triangles to calculate the height of the church to the nearest tenth of a foot.
A. 10,296.0 ft B. 44.7 ft C. 85.1 ft D. 27.1 ft
Calculus can be used to find the slope of the line tangent to a curve. The slope of the tangent to the curve 
at 
is f'(a). Use f'(x) to find the slope of the tangent to 
at the given value of x.f'(x) = 6x3 - 2x2 + 5x - 19 at x = -2
A. -69 B. -85 C. -75 D. 85