Linear Equations
In the slope-intercept form equation y = mx + b, the letter m represents this feature of the line.
What is the slope (or rate of change)?
This term describes the set of all possible input values (or x-values) for which a function is defined.
What is the domain?
When solving a system of two linear equations by graphing, the solution is found at this specific location.
What is the vertical line test?
This is the name of the U-shaped curve created when graphing a quadratic equation.
What is a parabola?
This is the button you must press first when you want to type in an equation, like y = 3x + 4, to see its graph.
What is the Y= button?
This is the y-intercept of the line represented by the equation y = 2x - 9.
What is -9 (or the point (0, -9))?
To determine if a graph represents a function, you can use this visual method to check if any x-value has more than one y-value.
What is the vertical line test?
When graphing an inequality, you must do this to the inequality symbol if you multiply or divide both sides by a negative number.
What is flip (or reverse) the symbol?
The turning point of a parabola, which represents either the highest or lowest point on the graph, is known by this term.
What is the vertex?
To view a list of coordinate pairs for a function you entered, you press the 2nd key followed by the GRAPH key to access this feature.
What is the Table?
This is the slope of a straight line that passes through the coordinates (2, 5) and (4, 11).
What is 3?
If a function is defined as f(x) =x2 - 3x, this is the value of f(-2).
What is 10?
When graphing a linear inequality on a coordinate plane, you must use a dashed or dotted boundary line for these two specific inequality symbols.
What are < (less than) and > (greater than)?
In the standard quadratic equation y = ax2+ bx + c, the formula x = \frac{-b}{2a}$ is used to calculate this imaginary vertical dividing line.
What is the axis of symmetry?
To see the correlation coefficient (r) when calculating a linear regression (LinReg), you must make sure this specific setting is turned "ON" in your calculator's MODE or CATALOG menu.
What is Stat Diagnostics?
This is the equation of the line, written in slope-intercept form, that passes through the points (-2, 1) and (2, 9).
y = 2x + 5?
When comparing linear, quadratic, and exponential functions, this specific type of function will always eventually exceed the values of the other two as x increases.
What is an exponential function?
When solving the system of equations 4x + 3y = 12 and 2x - 3y = 6 using the elimination method, this is the resulting equation after adding them together.
What is 6x = 18?
This specific number must be added to the expression x2 - 14x to "complete the square" and create a perfect square trinomial.
What is 49?
If an arithmetic sequence is defined by the explicit formula an = 4n - 1, this is the exact value of the 15th term in the sequence.
What is 59?
This is the exact average rate of change for the function f(x) = x2 - 4 over the interval
-1 \le x \le 3.
What is 2? (Calculated as
\frac{f(3) - f(-1)}{3 - (-1)} = \frac{5 - (-3)}{4} = \frac{8}{4}
A coordinate pair is only considered a solution to a system of linear inequalities if it is located within this specific area on a coordinate plane.
What is the overlapping shaded region (or the intersection of the shading)?
Found by evaluating the expression b2 - 4ac, this value tells you exactly how many real roots a quadratic equation has.
What is the discriminant?
If you need to enter a set of bivariate data to calculate the line of best fit (LinReg), you must press this main button first to access the Edit... menu and open your lists (L1 and L2).
What is the STAT button?