Reference no: EM131076653
Assignment
1. Sketch the graph of the quadratic function.
f (x) = x2 - 3x
2. Sketch the graph of the quadratic function f (x) = (x + 4)2 + 1. Identify the vertex and axis of symmetry.
3. Sketch the graph of the quadratic function f (x) = x2 + 2x + 1. Identify the axis of symmetry.
4. Find the standard form of the quadratic function shown below:
5. Determine the vertex of the graph of the quadratic function
f (x) = x2 + x + (5/4)
6. Determine the x-intercept(s) of the quadratic function
f (x) = x2 + 4x - 32
7. Write a polynomial that fits the description.
A fifth-degree polynomial with leading coefficient 4.
8. Multiply or find the special product.
(x + 4) (x + 9)
9. Perform the following operation.
Multiply (x2 + 2x + 6) and (x2 - 2x + 6).
10.Perform the operation and write the result in standard form.
(-8x) (8x + 7)
11.Completely factor the expression.
x4 - 4x3
12.Completely factor the expression.
x2 - 8x + 16
13.Completely factor the expression.
(t - 1)2 - 9
14.Solve the equation and check your solution.
(5x/2) - (x/6) = 14
15.Determine whether the equation 3 (x - 2) = 3x - 6 is an identity or a conditional equation. If conditional, indicate the condition.
16.Solve the equation and check your solution.
67x - 24 = 3x + 8(8x - 3)
17.Solve the quadratic equation by factoring.
x2 + 8x + 16 = 0
18.Solve the quadratic equation by factoring.
64x2 - 1 = 0
19.Solve the equation and check your solution. (If not possible, explain why.)
{x / (x + 9)} + {9 / (x + 9)} + 2 = 0
20.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.
(0,0), m = 3
21.Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slopem. Sketch the line.
(-6, 6), m = -2
22.Which equation does not represent y as a function of x?
y = |-8 + 9x2|
x -6y + 5
y = 7x + 9
x = -1
y = √(8 + x)
23.Which of the following equations does not represents y as a function of x?
y = x2 - 2
y2 = 2 - x
y = x2 + 2
y = x2 + x - 2
x2 + y = 2
24.Which equation does not represent y as a function of x?
-5y2 + 7x = 3
2x = -9y
-9x + 7y = -9
-4y = -9
6x2 + 7y = -2
25.Find the domain of the function.
h (t) = (3/t)
26.Find the zeros of the function algebraically.
f (x) = √8x - 1
27.Evaluate the indicated function for f (x) = x2 - 7 and g (x) = x + 3
(f - g)(t + 2)
28. Find (f + g)(x)
f (x) = 2x - 4
g (x) = 6 - x
29. Find (f/g)(x)
f (x) = x2 + 7x
g (x) = -2 -x
30. Find g ? f
f (x) = x- 3
g (x) = x2
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