Algebra
Math 105 Exam 1 Review — Fall 2022 Chpt.1.1, 3, & 4 1. Let f(r) be the weight of an astronaut in pounds at the distance r, in thousands of miles from the earth’s center.
Explain the meaning of the following statements.
(a) f (4) = 180 (e) f (36) = b
(b) f(a) = 36
2. Census figures for the US population, P (t) (in millions), t years after 1950, are in Table 1.6.
Table 1.6 t (years) 0 10 20 30 40 50 P(t) (millions) 150.7 179.0 205.0 226.5 248.7 281.4
(a) Evaluate P (20) and interpret its meaning. (b) If P (50) = 281.4, find and interpret its meaning.
3. Given f (x) = -3×2 + 8x -f 1, find: (a) f (3) (c) f (x + h)
4. Find: (a) f (4) (b) The values x of such that f (x) = 4. (c) The values x of such that f(x) = 1. (d) Find the domain and range for f(x). (Try using interval notation).
(b) f (4p)
4fix)
—4
0
4
1
