genmath classifying absolute, linear, quadratic, cubic, cube root, square root final term 1

function

where an input has exactly one output

y = mx + b

what is the general term for LINEAR FUNCTION

slope

(linear) indicates the steepness and direction of the line

positive slope

(linear) line rises from left to right

negative slope

(linear) line rises from right to left

zero slope

(linear) the graph is a horizontal line

undefined slope

(linear) the graph is a vertical line

y = ax^2 + bx + c

what is the general term for QUADRATIC FUNCTION

quadratic function

graph shape is a parabola

vertex

(quadratic) it is the highest or lowest point of the graph

upward

(quadratic) the parabola will face (upward/downward) if a>0

downward

(quadratic) the parabola will face (upward/downward) if a<0

axis of symmetry

(quadratic) a vertical line that passes through the vertex

-b/2a

formula to solve the axis of symmetry

roots/zeros

(quadratic) are the points where the graph intersects the x-axis

f(x) = |x|

what is the general form for absolute function

absolute function

the graph shape is a V shape