QUESTION 1
1. Select the graph of the quadratic function ƒ(x) = 4 – x2. Identify the vertex and axis of symmetry.
| Vertex: (0,4)
Axis of symmetry: y-axis |
||
| Vertex: (0,2)
Axis of symmetry: y-axis |
||
| Vertex: (0,5)
Axis of symmetry: y-axis |
||
| Vertex: (0,3)
Axis of symmetry: y-axis |
||
| Vertex: (0,1)
Axis of symmetry: y-axis |
5 points
QUESTION 2
1. Select the graph of the quadratic function ƒ(x) = x2 + 3. Identify the vertex and axis of symmetry.
| Vertex: (0,4)
Axis of symmetry: y-axis |
||
| Vertex: (0,5)
Axis of symmetry: y-axis |
||
| Vertex: (0,1)
Axis of symmetry: y-axis |
||
| Vertex: (0,3)
Axis of symmetry: y-axis |
||
| Vertex: (0,2)
Axis of symmetry: y-axis |
5 points
QUESTION 3
1. Determine the vertex of the graph of the quadratic function
5 points
QUESTION 4
1. Determine the x-intercept(s) of the quadratic function
ƒ(x) = x2 + 4x – 32
| (-4,0), (8,0) | ||
| (0,0), (7,0) | ||
| (4,0), (-8,0) | ||
| (0,0), (-7,0) | ||
| no x-intercept(s) |
5 points
QUESTION 5
1. Write a polynomial that fits the description.
A fifth-degree polynomial with leading coefficient 4
| 1024×5 + 3x + 1 | ||
| 4×5 + 3x + 1 | ||
| 4×4 + 3×3 + 4×2 + 5x + 1 | ||
| 6×5 + 3x + 1 | ||
| x5 + 4 |
5 points
QUESTION 6
1. Perform the operation and write the result in standard form.
(3×2 + 5) – (x2 – 4x + 5)
| 3×2 + 4x | ||
| 2×2 + 4x + 5 | ||
| 2×2 – 4x | ||
| 2×2 + 4x | ||
| 2×2 + 4x – 5 |
5 points
QUESTION 7
1. Multiply or find the special product.
(x+4)(x+9)
| x2 + 13x | ||
| x2 + 4x + 36 | ||
| x2 + 36 | ||
| x2 + 13x + 36 | ||
| x2 + 13x + 9 |
5 points
QUESTION 8
1. Factor out the common factor.
8×3 – 104x
| 8×3(1-13x) | ||
| 8(x3-13x) | ||
| 8×2(x-13) | ||
| x(8×2-104) | ||
| 8x(x2-13) |
5 points
QUESTION 9
1. Factor the Trinomial.
x2 + 14x + 45
| (x-5)(x-9) | ||
| (x+5)(x-9) | ||
| (x+5)(x+9) | ||
| (x-5)-(x-9) | ||
| (x-5)(x+9) |
5 points
QUESTION 10
1. Determine whether the value of x=0 is a solution of the equation.
5x-3 = 3x+5
| yes | ||
| no |
5 points
QUESTION 11
1. Solve the equation and check your solution.
67x – 24 = 3x + 8(8x-3)
| 3 | ||
| 67 | ||
| -3 | ||
| -67 | ||
| All real numbers |
5 points
QUESTION 12
1. Solve the quadratic equation by factoring.
x2 – 6x + 5 = 0
| -1,5 | ||
| -1,-5 | ||
| 1,-5 | ||
| 1,5 | ||
| 6,5 |
5 points
QUESTION 13
1. Solve the equation and check your solution. (If not possible, explain why)
| 8 | ||
| 7/17 | ||
| 15/8 | ||
| 12 | ||
| 15 |
5 points
QUESTION 14
1. Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope m. Sketch the line.
| y=6x+6
|
||
| y=6x+6
|
||
| y = -6x-6
|
||
| y = -2x – 6
|
||
| y = 6x-6
|
5 points
QUESTION 15
1. Evaluate the function at q(3)
| 1/8 | ||
| 1/6 | ||
| 1/4 | ||
| 1/7 | ||
| 1/5 |
5 points
QUESTION 16
1. Does the table describe a function?
| yes | ||
| no |
5 points
QUESTION 17
1. Find the domain of the function.
| All real numbers x | ||
| Non-negative real numbers x such that x ≠ 0 | ||
| Non-negative real numbers x | ||
| All real numbers x such that x<0 | ||
| All real numbers x such that x>0 |
5 points
QUESTION 18
1. Find the zeroes of the function algebraically.
ƒ(x) = 2×2 – 3x – 20
| -5/2, 4 | ||
| -5/2, -4 | ||
| -2/5, 4 | ||
| 5/2, -4 | ||
| 5/2, 4 |
5 points
QUESTION 19
1. Find (f+g)(x)
ƒ(x) = 2x – 4, g(x) = 6 – x
| 3x – 2 | ||
| 2x – 2 | ||
| 2x + 2 | ||
| 3x + 2 | ||
| x+2 |
5 points
QUESTION 20
1. Find g ∘ f
ƒ(x) = x3, g(x) = x – 1
| x3 – 1 | ||
| x3 | ||
| (x – 1)3 | ||
| (x3 + 1) | ||
| (x + 1)3 |
