Question

irections Read this arti ID: A Class: áth Grade Mid Winter Recess Packet Show Your Work Monday 1. Determine if the relationship represents a function. Explain 2. Determine wbether the function is linear or non-linear Rx)x+I): Rewrite the function using the distributive property, then explain whether or not is represents a function. 3. Find the output for each input -9x+15 Input Rule -9x + 15 -5 What values will complete this table to show a direct variation? (Show your work) -12

Answer 1

1) For a graph to be a function, the graph should have a y value for all points of 'x' and any line drawn parallel to 'y axis' should not cut the graph at more than one point;

In the given graph, no line drawn parallel to 'y' axis cuts it at more than one point and the graph is defined throughout its domain; Hence the graph is a function

2) f(x)= x(x+1)
Rewriting this usign distributive property we get:
f(x) = x² + x;
We can see that f(x) is not a linear function but is an quadratic function;
Yes, f(x) represents a function as it is defined for all vlaues of 'x' and has a single f(x) value for all values of x;

3) y = -9x + 15;
x=-5; Rule = -9(-5) + 15 ; output = 60 ;
x=1; Rule = -9(1) + 15 ; Output = 6;
x=3; Rule = -9(3) + 15; Output = -12;