Activity 3.2.2.
For each of the following functions, without using graphing technology, determine whether the function is
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always increasing or always decreasing;
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always concave up or always concave down; and
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increasing without bound, decreasing without bound, or increasing/decreasing toward a finite value.
In addition, state the \(y\)-intercept and the range of the function. For each function, write a sentence that explains your thinking and sketch a rough graph of how the function appears.
(a)
\(p(t) = 4372 (1.000235)^t + 92856\)
(b)
\(q(t) = 27931 (0.97231)^t + 549786\)
(c)
\(r(t) = -17398 (0.85234)^t\)
(d)
\(s(t) = -17398 (0.85234)^t + 19411\)
(e)
\(u(t) = -7522 (1.03817)^t\)
(f)
\(v(t) = -7522 (1.03817)^t + 6731\)
