Definitions
Range definition
The range of a function is the complete set of all possible resulting values of the dependent variable
Discriminant and Roots definition
The discriminant determines the nature of the roots of a quadratic equation.
Identify the minimum: f(x) = x2 - 7
-7
Identify the maximum f(x) = -14x - x2 - 109
-7
Vertex definition
Vertex typically means a corner or a point where lines meet.
Vertex form definition
a vertex form is a point where two or more curves, lines, or edges meet
Identify the range: f(x) = 4x2
(0, infinity)
Identify the vertex: f(x) = 5x2 + 6
(0,6)
y-intercept definition
the y-coordinate of a point where a line, curve, or surface intersects the y-axis.
Axis of Symmetry def
The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves.
Identify the y-intercept f(x) = x2 - 5
(0,-5)
Identify the discriminant 3x2 + 4x - 8 = 0
112
maximum and minimum definition
The highest point and line goes on a graph and the lowest point a line goes on the graph
Identify the axis of symmetry f(x) = -x2 - 2x + 3
-1
Where is this vertex located on the graph: f(x) = 5x2+6
Up 6
Domain definition
The domain of a relation (or of a function) is the set of all inputs of that relation
Identify the domain f(x) = 8x2
(-infinity, infinty)