Functions

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Across
  1. 3. - A relation between x and y in which y equals a constant k times the inverse of x. y=k 1/x
  2. 4. - Numbers, symbols, and operators grouped together to show the value of something. Note that it differs from an equation because there is no equal sign and therefore cannot be solved, only simplified. (3x − 4y + 6)
  3. 6. Functional Transformation: ______________ - A functional transformation where the function shifts right or left along the x-axis.
  4. 7. Functional Transformation: _________________ - A functional transformation where the function's slope becomes more steep.
  5. 8. - A diagram showing a relation’s inputs and their corresponding outputs using arrows.
  6. 11. Linear Equation: ____________ - One way to write a linear equation (y = mx + b) where the product of the slope (m) and the variable (x) are added to the y-intercept (b). y = mx + b
  7. 14. - The simplest function within a specific family. (y = x is the parent function for linear equations.)
  8. 15. - Separated into factors or divisors that, when multiplied together, yield the original number. (30+40=(10⋅3)+(10⋅4); −2x−18=−2(x+9)
  9. 17. - PEMDAS: the set order in which multi-step equations must be solved: Parenthesis, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right).
  10. 19. - method of simplifying an algebraic expression by adding or subtracting the coefficients of like terms. (2x+4x=6x)
  11. 24. Functional Transformation: __________________ - A functional transformation where the function's slope becomes more shallow.
  12. 25. (in math) - a special type of relation where each input has only one output. {(0, 2), (2, 3), (3, 4), (5, 6)}
  13. 26. - A method for examining the graph of a relation to determine whether or not the relation is a function; pass a vertical line (like a pencil) through all the points of the graph, and if the vertical line passes through more than one point of the graph at the same time, the relation is not a function.
Down
  1. 1. - An expression that does not contain any exponents (2x+3)
  2. 2. - A relation between x and y in which y equals a constant (k) times x. (y = kx)
  3. 5. - known as FOIL when used on two sets of binomials in parentheses.
  4. 9. - a number in front of a group of terms will multiply all terms in the grouping individually. (a(b + c) = ab + ac)
  5. 10. (mathematics) - Use of the distributive property where a number in front of a group of terms will multiply all terms in the grouping individually.
  6. 12. - A statement that two ratios are equivalent.
  7. 13. Functional Transformation: _____________ - A functional transformation where the function shifts up or down along the y-axis.
  8. 16. Functional Transformation: ______________ - A functional transformation where a graph's mirror image is flipped across the x-axis.
  9. 18. - a fraction used to calculate slope, with the change in y-values in the numerator, and change in x-values in the denominator. (slope=(change in y)/(change in x)=∆y/∆x
  10. 20. Linear Equation: ____________ - A linear equation in the form in the form Ax + By=C, where aa, bb, and cc are constants. The x- and y- intercepts are quickly to determined by setting the other variable to 0. 2x + 3y = 6
  11. 21. (Math) - writing numbers or expressions in expanded form.
  12. 22. (in math) - A relationship between sets of values. In math, the relation is often between x values (inputs) and y values (outputs), and can be represented as a set of ordered pairs, a table of values, a mapping diagram, or a graph. {(2, 3), (2, 5), (3, 2)}
  13. 23. - terms with the same variable and exponent combination. 2x and 5x