Linear Relations and Functions
State the domain and range of the following relation. Also state if it is a function.
{(4,2), (3,9), (7,5)}
Domain: [4,3,7]
Range: [2,9,5]
Function?: Yes
Use the elimination method to solve the system of equations:
4x+2y = 18
3x+8y = 24
(5.05, -1.1)
Determine if the graph of y = x2 + 3 is symmetric with respect to the x-axis or y-axis
The graph is symmetric with respect to the y-axis
State the degree and leading coefficient of the polynomial
5x3 - 2x2 + 26x - 9
Leading coefficient: 5
Degree: 3
What is the angle measure of 9.7 rotations counterclockwise?
3492 degrees
Evaluate the function for the given value:
f(3) if f(x) = 2x + x2 - 9
6
Use the substitution method to solve the system of equations:
6x-12y = 34
x-y = 12
(18.33, 6.33)
Is the following function even, odd, or neither?
6x5 - 3x4 + 83 + 12 -17
The function is odd
Solve 4x2 + 13x - 7 = 0 by using quadratic formula
x = -7.07, -18.93
Find one positive and one negative angle that are coterminal with 64 degrees
Positive angle: 424
Negative angle: -296
(f + g)(x)
5x2 + x + 1
If A =| 4 7 1| and B = |2 9 6| what is AB?
| 3 5 1| |10 -2 8|
*These are matrices
Undefined. They do not have the same # of rows and columns, therefore the product does not exist.
Determine if the graph 4/x2 has infinite discontinuity, jump discontinuity, or point discontinuity
The graph has infinite discontinuity
Solve x = √-x+2 -4
x = -7 or -2
If sin x = 2/3 find csc x
csc x = (1)/(2/3) or 1.5
Write an equation in slope-intercept from for a line with a slope of 5/8 and a y-intercept of -3
y = 5/8x - 3
Find the value of |12 -2|
|3 5 |
66
What is the end behavior of polynomial function -x3+3?
Negative, odd
Find the type of polynomial function that could be used to represent equation y = 8x2 + 2x - 3
When graphed, the scatterplot only changes directions once. This means a quadratic function would be best.
Find the values of the 6 trig functions in standard pos. with coordinates (2,16) lying on its terminal side
sin x = 16/16.2 cos x = 2/16.2 or 1/8.1
tan x=16/2 or 8 csc x=16.2/16
sec x= 16.12/2 or 8.06 cot x=2/16 or 1/8