A researcher predicted that the presence of other people (the independent variable) leads to a decrease in math performance (the dependent variable). To test this prediction, the researcher had participants first complete a set of math problems while alone and then, the same participants completed a set of math problems with other people present. After each participant was tested in both conditions, the researcher compared the results. In this study, the researcher used a

participatory design

Step-by-step explanation:

Participatory Design (PD) is defined as an approach that is used for assessment as well as design and development of the technological and the organizational systems.

This method is used to a control and the experimental groups that is as similar as possible. Therefore the participants served their own control group. And so rather than replying the random assignment to produce an equal groups, the researchers have the same group of the participants that experience various conditions in the study.

7

step-by-step explanation:

the answer would be 7

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph