QUESTION 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
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
Determine the vertex of the graph of the quadratic function
5 points
QUESTION 4
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
Write a polynomial that fits the description.
A fifth-degree polynomial with leading coefficient 4
1024x5 + 3x + 1
4x5 + 3x + 1
4x4 + 3x3 + 4x2 + 5x + 1
6x5 + 3x + 1
x5 + 4
5 points
QUESTION 6
Perform the operation and write the result in standard form.
(3x2 + 5) – (x2 – 4x + 5)
3x2 + 4x
2x2 + 4x + 5
2x2 – 4x
2x2 + 4x
2x2 + 4x – 5
5 points
QUESTION 7
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
Factor out the common factor.
8x3 – 104x
8x3 (1-13x)
8(x3 -13x)
8x2 (x-13)
x(8x2 -104)
8x(x2 -13)
5 points
QUESTION 9
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
Determine whether the value of x=0 is a solution of the equation.
5x-3 = 3x+5
5 points
QUESTION 11
Solve the equation and check your solution.
67x – 24 = 3x + 8(8x-3)
3
67
-3
-67
All real numbers
5 points
QUESTION 12
Solve the quadratic equation by factoring.
x2 – 6x + 5 = 0
5 points
QUESTION 13
Solve the equation and check your solution. (If not possible, explain why)
5 points
QUESTION 14
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.
(-6,6), m=-2
y=6x+6
y=6x+6
y = -6x-6
y = -2x – 6
y = 6x-6
5 points
QUESTION 15
Evaluate the function at q(3)
5 points
QUESTION 16
Does the table describe a function?
5 points
QUESTION 17
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
Find the zeroes of the function algebraically.
ƒ(x) = 2x2 – 3x – 20
–5 /2 , 4
–5 /2 , -4
–2 /5 , 4
5 /2 , -4
5 /2 , 4
5 points
QUESTION 19
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
Find g ∘ f
ƒ(x) = x3 , g(x) = x – 1
x3 – 1
x3
(x – 1)3
(x3 + 1)
(x + 1)3
5 points
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