SS Alg 2B - NW4 Test

Graph each function. State the domain and range.

1. y = √(x - 2) + 1

• D: x ≥ 2, R: y ≥ 1

• D: x ≥ -2, R: y ≥ 1

• D: x ≥ 2, R: y ≥ -1

• D: x ≤ 2, R: y ≥ 1

• 6, -6, 2, -2

• √4, -√4, √9, -√9

• √4, -√9

• -√4, √9

For the function f(x) = 1/(x+2) + 1, determine the equations of the asymptotes, the domain, and the range. Refer to the graph provided.

• x = -2; f(x) = 1
  D = {x | x ≠ -2}
  R = {f(x) | f(x) ≠ 1}

• x = 2; f(x) = -1
  D = {x | x ≠ 2}
  R = {f(x) | f(x) ≠ -1}

• x = -2; f(x) = 1
  D = {f(x) | f(x) ≠ -2}
  R = {x | x ≠ 1}

• x = -2; f(x) = 1
  D = {x | all real numbers}
  R = {f(x) | f(x) ≠ 1}

Simplify.
√392

• 14√2

• 2√98

• 7√8

• √196 × √2

5. 4√32 + 5√50 - 3√18

• 2√2 + 25√2

• 2√2 + 10√5

• 2√2 + 20√5

• 2√2 + 15√5

(2 + √3)(4 - √5)

• 8 - 2√5 + 4√3 - √15

• 8 + 2√5 + 4√3 + √15

• 8 - 2√5 - 4√3 + √15

• 8 + 2√5 - 4√3 - √15

For the graph shown, a. describe the end behavior, b. determine whether it represents an odd-degree or an even-degree function, and c. state the number of real zeroes.

• f(x) → −∞ as x → −∞, f(x) → −∞ as x → +∞; even; 3

• f(x) → −∞ as x → −∞, f(x) → +∞ as x → +∞; odd; 4

• f(x) → +∞ as x → −∞, f(x) → −∞ as x → +∞; odd; 4

• f(x) → +∞ as x → −∞, f(x) → +∞ as x → +∞; even; 2

Solve the equation: √(8x - 12) = √(4x + 4)

• 2

• 3

• 4

• 5

Simplify the expression: 5√18 - 2√50 + 4√8

• 10√2 - 2√50

• 10√2 - 10√5

• 14√2 - 10√5

• 10√2 - 8√5