Search for tag: "function"

Word problem involving the maximum or minimum of a quadratic function

This video explains the situation we are trying to minimize or maximize and the role of the input and output variables. Then the process of finding the location and value of the requested amount is…

From  Tom Grant 11 plays 0  

Evaluating an exponential function that models a real-world situation

This shows how to enter a value into a function to get a result for something like depreciation of value over time for a purchased item.

From  Tom Grant 8 plays 0  

Table for an exponential function

Shows how to plug in the given x--values and get values for f(x) = b^x

From  Tom Grant 6 plays 0  

Finding the maximum or minimum of a quadratic function

This shows how to decide whether you are seeking a maximum or minimum value for a quadratic function and then how to find the vertex of i ts parabola to deternine the x-value that locates the min…

From  Tom Grant 11 plays 0  

Graphing a parabola of the form y = ax^2 + bx + c: Integer coefficients

This shows how to find the vertex of a parabola and then calculate the matching points one unit and two units to the left and right of hte axis of symmetry

From  Tom Grant 21 plays 0  

Finding the vertex, intercepts, and axis of symmetry from a graph of a parabola

This gives a graph of a parabola which is the graph of a quadratic equation or function. The demonstration first includes classifying it as a parabola that is opening downward or upward. Then it…

From  Tom Grant 14 plays 0  

Domain of a rational function: Excluded values

Shows how to find out what values are not defined for a rational function. This ability will be needed when solving rational equations because you may come up with a value that is not valid when…

From  Tom Grant 15 plays 0  

Evaluating a rational function: Problem type 1

For an equation with f(x) equal to a rational expression, this shows how to write the substitution and simplification when putting in a particular value for x.

From  Tom Grant 7 plays 0  

Interpreting the graphs of two functions

Demonstates how to interpret a graph of a system of functions so that common questions that someone might have can be answered.

From  Tom Grant 72 plays 0  

Graphing a function of the form f (x) = ax + b: Fractional slope

Shows how thits form is simply the same as y = mx + b, and then writes the slope and y-intercpt down. It ends with using these to graph the line of points that satisfy this function.

From  Tom Grant 99 plays 0  

Finding intercepts of a nonlinear function given its graph

Just showiing how to locate and write down the x-intercepts and y-intecepts when looking at a graph

From  Tom Grant 29 plays 0  

Finding an output of a function from its graph

Simply demonstrates how to interpret function notation to understand what is being asked. In the example, the input is shown using function notatiion and the question asks for the function value or…

From  Tom Grant 23 plays 0  

Finding inputs and outputs of a two-step function that models a real-world situation: Function notation

Describes a situation that can be written as a function of the number of weeks a certain amount it saved and the resulting functional value is the amount still needed to be saved to buy something. …

From  Tom Grant 27 plays 0  

Variable expressions as inputs of functions: Problem type 1

Shows how to input an expression in place of the orignial variable input, and then simplify.

From  Tom Grant 23 plays 0  

Evaluating functions: Linear and quadratic or cubic

Speaks to the meaning of f(x), i.e. function notation. Then demnstrates how to get the value of two different functons given the input value.

From  Tom Grant 97 plays 0  

Table for a linear function

Describes how to find output values for a function given a list of iinput values and a table to complete a set of ordered pair values. Also mentions what function notation means and how to work with…

From  Tom Grant 13 plays 0