**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

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.

Given f (x) = -3×2 + 8x -f 1, find: (a) f (3) (c) f (x + h)

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)

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