task1
a.write a function that models an inverse variation situation
b.find the constant of the inverse variation
c.determine the dependent and independent variables
d.identify the domain and range
e.find the values of any asymptotes
f.graph the function, making sure to indicate any asymptotes
a.
function inverseVariation(x) {
return k / x;
}
b. To find the constant of the inverse variation, you would need to know two points from the situation and solve for k using the formula y = k / x.
c. In an inverse variation situation, the dependent variable is y and the independent variable is x.
d. The domain of the function is all real numbers except for x = 0, since division by zero is undefined. The range of the function is also all real numbers except for y = 0.
e. Asymptotes occur at x = 0 and y = 0.
f. To graph the function, plot points for different values of x and y, making sure to exclude x = 0 and y = 0. Draw a curve that approaches the asymptotes at x = 0 and y = 0.