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2) The range of the square root function, given by f(x)

Question : 2) The range of the square root function, given by f(x) : 2151790

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Provide an appropriate response.

1) For the reciprocal function defined by f(x) = (1/x),  is the only real number not in the domain.

A) 1/2

B) 0

C) -1

D) 1

2) The range of the square root function, given by f(x) = Öx, is .

A) (-∞, ∞)

B) [0, ∞)

C) [0, ∞)

D) (-∞, 0]

3) The range of f(x) = [[x]], the greatest integer function, is .

A) (-∞, ∞)

B) [0, ∞)

C) {. . . , -2, -1, 0, 1, 2, . . .}

D) {. . . , -4, -2, 0, 2, 4, . . .}

Choose the graph that matches the given function.

4) f(x) = √(x - 5)

A)

B)

C)

D)

5) f(x) = √(x + 2)

A)

B)

C)

D)

6) f(x) = √(x) + 4

A)

B)

C)

D)

7) f(x) = Öx - 5

A)

B)

C)

D)

Graph the function. Give the domain and range.

8) f(x) = |x - 3| - 6

A) Domain: (-∞, ∞); Range: [-3, ∞)

B) Domain: (-∞, ∞); Range: [-6, ∞)

C) Domain: (-∞, ∞); Range: [-6, ∞)

D) Domain: (-∞, ∞); Range: [-3, ∞)

Find the center and radius of the circle whose equation is given. Graph the circle.

9) (x + 3)2 + (y – 3)2 = 9

A) center: (3, - 3); radius: 9

B) center: (-3, 3); radius: 3

C) center: (-3, 3); radius: 9

D) center: (3, - 3); radius: 3

Find the center and radius of the circle whose equation is given.

10) x2 + y2 - 10x + 8y + 41 = 81

A) center: (4, -5); radius: 81

B) center: (-4, 5); radius: 9

C) center: (-5, 4); radius: 81

D) center: (5, -4); radius: 9  

Graph.

11) f(x) = - √(9 - x2 )

A)

B)

C)

D)

12) 25x2 + 64y2 = 1,600

A)

B)

C)

D)

13) 16x2 - 4y2 = 64

A)

B)

C)

D)

14) (y/4) = -√((9 - x2/9))

A)

B)

C)

D)

Identify the graph of the equation as a parabola, hyperbola, ellipse, or circle.

15) 25y2 + 16x2 = 400

A) ellipse

B) parabola

C) hyperbola

D) circle

16) 4y2 = 144 + 36x2

A) circle

B) parabola

C) hyperbola

D) ellipse

17) y2 = 8 - x2

A) parabola

B) hyperbola

C) ellipse

D) circle

18) 5y2 - 2x = -4

A) hyperbola

B) circle

C) parabola

D) ellipse

Solve the nonlinear system.

19) xy = 1

-8x - y = -9

A) {(-1, 1), (-8, 8z)}

B) no real solution

C) {(1, 1), (8, (1/8))}   D) {(1, 1), ((1/8), 8)}

20) y2 - x2 = 1

x - 6 = y

A) {(35/12), (17/2)}   B) {(- (37/12), (35/12))}   C) {(- (37/12), - (109/12))}   D) {((35/12), - (37/12))}

21) 4x2 + 2y2 = 64

x2 + 2y2 = 16

A) {(-4, 0), (4, 0)}

B) {(4, 0)}

C) {(-4, -Ö2), (-4, Ö2), (4, -Ö2), (4, Ö2)}

D) {(-4i, 0), (4i, 0)}

Graph the inequality.

22) y ≤ x2 + 6

A)

B)

C)

D)

23) ((x2 + y2≤49)((x2/9) + (y2/81)≥1) )

A)

B)

C)

D)

 

 

Solution
5 (1 Ratings )

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Algebra 5 Months Ago 58 Views
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