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section 2_1 solutions

section 2_1 solutions - Math 1650 Homework Solutions Jason...

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Math 1650 Homework Solutions Jason Snyder, PhD. Page 1 of 8 § 2.1 2 8 (even), 14 28 (even), 32, 34, 36, 44, 50, 52, 58, 62, 66, 70 Solutions 1 4 Express the rule in function notation 2) Divide by 7, then subtract 4 ? 𝑥 = 𝑥 7 4 4) Take the square root, add 8, then multiply by 1 3 ? 𝑥 = 1 3 𝑥 + 8 5 8 Express the function in words 6) ? 𝑥 = 𝑥 3 4 Divide by 3, then subtract 4 8) ? 𝑥 = 𝑥 + 2 Add 2, then take the square root 13 20 Evaluate the function at the indicated values 14) ? 𝑥 = 𝑥 2 + 2 𝑥 ? 0 = 0 2 + 2 0 = 0 ? 3 = 3 2 + 2 3 = 15 ? 𝑎 = 𝑎 2 + 2 𝑎 ? −𝑥 = −𝑥 2 + 2 −𝑥 = 𝑥 2 2 𝑥 ? 1 𝑎 = 1 𝑎 2 + 2 1 𝑎 = 1 𝑎 2 + 2 𝑎 = 1 + 2 𝑎 𝑎 2
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Math 1650 Homework Solutions Jason Snyder, PhD. Page 2 of 8 16) ? ? = ? + 1 ? ? 1 = 1 + 1 1 = 2 ? − 1 = 1 + 1 1 = 1 1 = 2 ? 2 = 2 + 1 2 = 5 2 ? 1 2 = 1 2 + 1 1 2 = 1 2 + 2 = 5 2 ? 𝑥 = 𝑥 + 1 𝑥 ? 1 𝑥 = 1 𝑥 + 1 1 𝑥 = 1 𝑥 + 𝑥 = ? ( 𝑥 ) 18) ? 𝑥 = 𝑥 3 4 𝑥 2 ? 0 = 0 3 4 0 2 = 0 ? 1 = 1 3 4 1 2 = 3 ? − 1 = ( 1) 3 4 1 2 = 1 4 = 5 ? 3 2 = 3 2 3 4 3 2 2 = 27 8 9 = 27 8 72 8 = 45 8 ? 𝑥 2 = 𝑥 2 3 4 𝑥 2 2 = 𝑥 3 8 − 𝑥 2 = 𝑥 3 8 8 𝑥 2 8 = 𝑥 2 ( 𝑥 − 8) 8 ? 𝑥 2 = 𝑥 2 3
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