Solutions to problems involving combined functions can sometimes lead to a range of acceptable answers. Is this a true statement?
What is yes
100
What makes an equation an inequality?
What is when the equal sign is replaced by a less than (<) or greater than (>) sign.
100
When comparing g(x) and f(x) do you graph them on the same set of axis?
What is yes.
100
True or false. Is there only one way to graphically illustrate an inequality involving a combined function?
What is false. There are numerous ways.
200
How many methods are there to solve inequalities of combined functions?
What is three.
200
When do you switch the inequality sign?
What is multiplying or dividing both sides by a negative number.
200
The graph of y= f(x) is a line with a slope of one that passes through the...
What is the origin
200
True or False; the TI-83 is not useful when solving inequalities of combined functions.
What is false.
300
Could the combined function y=g(x) - f(x) be used to show where f(x)>g(x) and g(x)>f(x)?
What is Yes. When the graph is below the x-axis f(x)>g(x), when the graph is above the x-axis g(x)>f(x).
300
∪ what does this symbol represent?
What is union
300
How do you determine the points of intersection?
What is set the two functions equal and solve for x.
300
True or False; A fraction is greater than one when the numerator is greater than the denominator
What is true.
400
Suppose that a developer found a way to reduce her variable costs to $58,000 per house. How would this affect the minimum number of houses she could build?
What is the minimum number of houses would decrease.
400
Explain how you can determine an algebraic equation for y=f(x) - g(x)
What is subtract g(x) from f(x)
400
Explain one way to graphically illustrate, where one function is greater than another.
What is subtract the functions and see where the graph of the difference is above the x-axis.
400
True or False; when solvin sinx>logx, you can only solve by algebraic techniques.
What is false, it cannot be solved using algebraic techniques.