algebra exam 3 - norman93

sarkha1

algebra3.docx

Home >Mathematics homework help >Algebra homework help >algebra exam 3 - norman93

Question 1 of 20

5.0 Points

The difference between two numbers is 8. If one number is represented by x, the other number can be expressed as:

A. x - 5.

B. x + 4.

C. x - 8.

D. x - x.

Question 2 of 20

5.0 Points

Find the x-intercepts. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept. f(x) = x2(x - 1)3(x + 2)

A. x = -1, x = 2, x = 3 ; f(x) crosses the x-axis at 2 and 3; f(x) touches the x-axis at -1
B. x = -6, x = 3, x = 2 ; f(x) crosses the x-axis at -6 and 3; f(x) touches the x-axis at 2.
C. x = 7, x = 2, x = 0 ; f(x) crosses the x-axis at 7 and 2; f(x) touches the x-axis at 0.
D. x = -2, x = 0, x = 1 ; f(x) crosses the x-axis at -2 and 1; f(x) touches the x-axis at 0.

Question 3 of 20

5.0 Points

Use the Intermediate Value Theorem to show that each polynomial has a real zero between the given integers. f(x) = x3 - x - 1; between 1 and 2

A. f(1) = -1; f(2) = 5

B. f(1) = -3; f(2) = 7

C. f(1) = -1; f(2) = 3

D. f(1) = 2; f(2) = 7

Question 4 of 20

5.0 Points

The perimeter of a rectangle is 80 feet. If the length of the rectangle is represented by x, its width can be expressed as:

A. 80 + x.
B. 20 - x.
C. 40 + 4x.
D. 40 - x.

Question 5 of 20

5.0 Points

If f is a polynomial function of degree n, then the graph of f has at most __________ turning points.

A. n - 3
B. n - f
C. n - 1
D. n + f

Question 6 of 20

5.0 Points

The graph of f(x) = -x3 __________ to the left and __________ to the right.

A. rises; falls
B. falls; falls
C. falls; rises
D. falls; falls

Question 7 of 20

5.0 Points

All rational functions can be expressed as f(x) = p(x)/q(x), where p and q are __________ functions and q(x) ≠ 0.

A. horizontal asymptotes
B. polynomial
C. vertical asymptotes
D. slant asymptotes
Question 8 of 20	5.0 Points

Find the domain of the following rational function. f(x) = x + 7/x2 + 49

A. All real numbers < 69
B. All real numbers > 210
C. All real numbers ≤ 77
D. All real numbers
Question 9 of 20	5.0 Points

"Y varies directly as the nth power of x" can be modeled by the equation:

A. y = kxn.

B. y = kx/n.

C. y = kx*n.

D. y = knx.

Question 10 of 20

5.0 Points

Find the domain of the following rational function. f(x) = 5x/x - 4

A. {x │x ≠ 3}
B. {x │x = 5}
C. {x │x = 2}
D. {x │x ≠ 4}

Question 11 of 20

5.0 Points

Based on the synthetic division shown, the equation of the slant asymptote of f(x) = (3x2 - 7x + 5)/x – 4 is:

A. y = 3x + 5.

B. y = 6x + 7.

C. y = 2x - 5.

D. y = 3x2 + 7.

Question 12 of 20

5.0 Points

Write an equation in standard form of the parabola that has the same shape as the graph of f(x) = 2x2, but with the given point as the vertex (5, 3).

A. f(x) = (2x - 4) + 4
B. f(x) = 2(2x + 8) + 3
C. f(x) = 2(x - 5)2 + 3
D. f(x) = 2(x + 3)2 + 3

Question 13 of 20

5.0 Points

Find the domain of the following rational function. g(x) = 3x2/((x - 5)(x + 4))

A. {x│ x ≠ 3, x ≠ 4}
B. {x│ x ≠ 4, x ≠ -4}
C. {x│ x ≠ 5, x ≠ -4}
D. {x│ x ≠ -3, x ≠ 4}
Question 14 of 20	5.0 Points

Solve the following polynomial inequality. 9x2 - 6x + 1 < 0

A. (-∞, -3)

B. (-1, ∞)

C. [2, 4)

D. Ø

Question 15 of 20

5.0 Points

Solve the following polynomial inequality. 3x2 + 10x - 8 ≤ 0

A. [6, 1/3]
B. [-4, 2/3]
C. [-9, 4/5]
D. [8, 2/7]

Question 16 of 20

5.0 Points

The graph of f(x) = -x2 __________ to the left and __________ to the right.

A. falls; rises

B. rises; rises

C. falls; falls

D. rises; rises

Question 17 of 20

5.0 Points

40 times a number added to the negative square of that number can be expressed as:

A. A(x) = x2 + 20x.
B. A(x) = -x + 30x.
C. A(x) = -x2 - 60x.
D. A(x) = -x2 + 40x.

Question 18 of 20

5.0 Points

Find the x-intercepts. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept. f(x) = x3 + 2x2 - x - 2

A. x = 2, x = 2, x = -1; f(x) touches the x-axis at each.

B. x = -2, x = 2, x = -5; f(x) crosses the x-axis at each.

C. x = -3, x = -4, x = 1; f(x) touches the x-axis at each.

D. x = -2, x = 1, x = -1; f(x) crosses the x-axis at each.

Question 19 of 20

5.0 Points

Write an equation that expresses each relationship. Then solve the equation for y. x varies jointly as y and z

A. x = kz; y = x/k
B. x = kyz; y = x/kz
C. x = kzy; y = x/z
D. x = ky/z; y = x/zk

Question 20 of 20

5.0 Points

Find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the graph of the following rational function. f(x) = x/x + 4

A. Vertical asymptote: x = -4; no holes
B. Vertical asymptote: x = -4; holes at 3x
C. Vertical asymptote: x = -4; holes at 2x
D. Vertical asymptote: x = -4; no holes