Question Description
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
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
-
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
-
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.
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
-
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
yes
no
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
-1,5
-1,-5
1,-5
1,5
6,5
5 points
QUESTION 13
-
Solve the equation and check your solution. (If not possible, explain why)
8
7/17
15/8
12
15
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)1/8
1/6
1/4
1/7
1/5
5 points
QUESTION 16
-
Does the table describe a function?
yes
no
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) = 2×2 – 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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QUESTION 1Select the graph of the quadratic function ƒ(x) = 4 – x2. Identify the vertex and axis of symmetry.Vertex: (0,4)Axis of symmetry: y-axisVertex: (0,2)Axis of symmetry: y-axisVertex: (0,5)Axis of symmetry: y-axisVertex: (0,3)Axis of symmetry: y-axisVertex: (0,1)Axis of symmetry: y-axis5 points QUESTION 2Select the graph of the quadratic function ƒ(x) = x2 + 3. Identify the vertex and axis of symmetry.Vertex: (0,4)Axis of symmetry: y-axisVertex: (0,5)Axis of symmetry: y-axisVertex: (0,1)Axis of symmetry: y-axisVertex: (0,3)Axis of symmetry: y-axisVertex: (0,2)Axis of symmetry: y-axis5 points QUESTION 3Determine the vertex of the graph of the quadratic function5 points QUESTION 4Determine the x-intercept(s) of the quadratic functionƒ(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 5Write a polynomial that fits the description.A fifth-degree polynomial with leading coefficient 41024×5 + 3x + 14×5 + 3x + 14×4 + 3×3 + 4×2 + 5x + 16×5 + 3x + 1×5 + 45 points QUESTION 6Perform the operation and write the result in standard form.(3×2 + 5) – (x2 – 4x + 5)3×2 + 4x2x2 + 4x + 52×2 – 4x2x2 + 4x2x2 + 4x – 55 points QUESTION 7Multiply or find the special product.(x+4)(x+9)x2 + 13xx2 + 4x + 36×2 + 36×2 + 13x + 36×2 + 13x + 95 points QUESTION 8Factor out the common factor.8×3 – 104x8x3(1-13x)8(x3-13x)8×2(x-13)x(8×2-104)8x(x2-13)5 points QUESTION 9Factor 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 10Determine whether the value of x=0 is a solution of the equation.5x-3 = 3x+5yesno5 points QUESTION 11Solve the equation and check your solution.67x – 24 = 3x + 8(8x-3)367-3-67All real numbers5 points QUESTION 12Solve the quadratic equation by factoring.x2 – 6x + 5 = 0-1,5-1,-51,-51,56,55 points QUESTION 13Solve the equation and check your solution. (If not possible, explain why)87/1715/812155 points QUESTION 14Find 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=-2y=6x+6y=6x+6y = -6x-6y = -2x – 6y = 6x-65 points QUESTION 15Evaluate the function at q(3)1/81/61/41/71/55 points QUESTION 16Does the table describe a function?yesno5 points QUESTION 17Find the domain of the function.All real numbers xNon-negative real numbers x such that x = 0Non-negative real numbers xAll real numbers x such that x<0All real numbers x such that x>05 points QUESTION 18Find the zeroes of the function algebraically.ƒ(x) = 2×2 – 3x – 20-5/2, 4-5/2, -4-2/5, 45/2, -45/2, 45 points QUESTION 19Find (f+g)(x)ƒ(x) = 2x – 4, g(x) = 6 – x3x – 22x – 22x + 23x + 2x+25 points QUESTION 20Find g ∘ fƒ(x) = x3, g(x) = x – 1×3 – 1×3(x – 1)3(x3 + 1)(x + 1)35 points Click Save and Submit to save and submit. Click Save All Answers to save all answers.
