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Math unit2/lesson2&3

Math unit 2

TermDefinition
Function notation A relation in which every input results in one and only one output; usually denoted with f(x),g(x),h(x),k(x)
Radical function f(x)=square root of x
Radicand The value under the square root
Rational function f(x)=1 over x
Domain All possible inputs (x-values) of a function, values that are independent in an equation or expression.
Denominator restriction Domain values that render a rational expression undefined.
Square root (even root) restriction Domain values that render a square root expression undefined.
Interval notation A way to indicate inequalities by using brackets or parenthesis instead of inequality symbols
Union A symbol used to merge two or more pieces of an interval
Point of discontinuity An x-value on the graph where y-value is undefined
Continous graph A graph with a domain of negative Infinity and positive infinity.
Discontinous graph A graph with a domain other than negative infinity and positive infinity.
Vertical stretch/shrink Occurs when a function is multiplied by a constant of a. If a is between 0 and 1, there is a vertical shrink. If a is greater than 1, there is a vertical stretch.
Horizontal stretch/shrink Occurs when a function's input is multiplied by a constant of b. If b is between 0 and 1, there is a horizontal stretch by a factor of 1/b. If b is grater than 1, it is a horizontal shrink by 1/b.
Horizontal translation left or right Occurs when a constant is added to or subtracted from a function's input. Adding a constant is a left horizontal translation. Subtracting is a right horizontal translation.
Vertical translation up or down Occurs when a constant is added to or substracted from a function, adding to a function it is a translation up, if it is subtracting, it is a translation down.
Reflection across the x axis When a function is multiplied by a negative coefficient
Reflection across the y axis When a function input is multiplied by a negative coefficient.
Created by: user-1882786
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