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Algebra please fuck

(2.1 and 2.2) Please fucking save me please oh god I hate my life

QuestionAnswer
Is y a function of x? x^2 + y = 4 x^2 + y = 4 - x^2 y = -x^2 Yes.
Is y a function of x? x^2 + y^2 = 4 x^2 + y^2 - x^2 = 4x - x^2 y^2 = 4 - x^2 y = +/- sq root of 4 - x^2 No, there are two possible answers when taking the square root of x. (The square root property)
If graphing a function, how many points do you want to go in your t-chart for x values? x --- -2 -1 0 1 2
If a graph has two y-intercepts (The vertical line test) is it a function of x? No
What kind of dot would be used for this type of function? x < 2 OR x > 2 Open
What kind of dot is used when a function can be equal to or less/greater than a variable? x<_ 2 >__ x Closed
What notation is this? {xI -4 < x <2} Set- Builder notation
What notation is this? (-4, -2] Interval notation
A bracket or parenthesis for greater/less or equal to? Bracket
A bracket or parenthesis for greater/less? Parenthesis
How many y-intercepts are there in a function graph? At most one
Absolute value factions on a graph make what type of line? Straight line (v-shape to include negative and positive points) \./
An x^2 means you are graphing what type of line? A parabola. The one that looks like a big U
Is the function decreasing or increasing?: / Increasing
Is the function decreasing or increasing? \ Decreasing
If a y-value makes a straight horizontal line no matter how many x's are graphed, it is called what type of function? .___________. Constant
Relative maximums and minimums are found by Locating the x and y values where the function is highest and lowest.
On a graph, every point (x , y) will also have an equivalent point of (-x , y). What kind of symmetry is this? y-axis symmetry
On a graph, every point (x , y) will also have an equivalent point of (x , -y). What kind of symmetry is this? x-axis symmetry
On a graph, every point (x , y) will also have an equivalent point of (-x , -y). What kind of symmetry is this? Origin symmetry
If f(x) = (-x)^2 - 1 and f(x) = x^2 - 1 Is the function symmetric? Yes
if -y = x^2 - 1 and y = -x^2 + 1 Is the function symmetric? No.
if -y = ( -x)^2 - 1 and -y = x^2 - 1 Is the function symmetric? No
If f(-x) = f(x) is this an even or odd function? Even. The graph is symmetric to the y-axis
if f(-x) = -f(x) is this an even or odd function? Odd. The graph is symmetric to the origin.
The right side of an equation does not change if x is replaced with -x f(-x) = f(x) Is this even, odd, or neither? Even
The right side of an equation changes sign if x is replaced with -x f(-x) = -f(x) Is this even, odd, or neither? Odd
The right side of an equation changes sign if x is replaced with -x, but not every term on the right side changes sign. f(-x) does not = f(x) and f(-x) does not equal -f(x) Is this even, odd, or neither? Neither
Created by: user-1966161
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