On a graph, the variable X is the independent variable and the variable Y is the dependent variable.…
a. Sketch the graph of a function that is the sum, difference, product or quotient of two functions, given their…
VI. Determining the Equation from a graph or table – Determine the equation for each function. Don’t forget to solve for the a-value.…
Task 2. Plot a graph <y> versus t (plot t on the abscissa, i.e., x-axis).…
Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.…
1. Describe what the graph of this function would look like. What would the intercepts be? Would it have a positive or negative slope?…
Similarly to how you’d use a graph with a linear function, you can also use a table. You can use the function (y=12x, in our case) and plug in points for the x variable to find what the y would be, which you can later graph. If we made a table using our current function, this is what it would look like this:…
2. Describe the transformations on the following graph of f (x) log( x) . State the…
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Create your own unique literal equation and solve for one of the variables. Show your work. Then, using complete sentences, explain how you solved for the variable you chose. (2 points)…
Our last job is to find the inverse of two of our functions, f and h. To find the inverse we will write the function with y instead of the function name, then we will switch the places of x and y, and solve for y again. Here are the functions:…
A function is defined as a correspondence between two sets of numbers. What does the notation f(x) represent?…
Domain and range from the graph of a continuous function The entire graph of the function f is shown in the figure below. Write the domain and range of f using interval notation. x -1 -2 -3 -4 -5 1 2 3 4 5 y -1 -2 -3 -4 -5 1 2 3 4 5…
5) Compare the graphs of 3x – 2y > 6 and 3x – 2y ≥ 6. Discuss similarities and differences between the graphs.…
It represents the derivative of dependent variable y with respect to independent variable x. By first principle, it is defined as rate of change of y with respect to x. 1.1. Definitions What is a Differential Equation?…