2. which pair of terms best describes a function whose graph is composed of
isolated points and can be represented by the equation y = 2*?
f. continuous, linear
h. continuous, nonlinear
g. discrete, linear
j. discrete, nonlinear

J

Step-by-step explanation:

Consider tha graph of the function This graph shows exponential dependence, not linear, so it is nonlinear graph.

If we take only some points which belong to this graph, then we'll have discrete function, not continuous (you can see an example of such function in  attached diagram )

So, this function is descrete, nonlinear.

1. when "a" is a root of a polynomial, (x -a) is a factor of it. for the three roots given, the factors of the desired polynomial are (x +2)(x -1/2)(x -3).

in order to make the leading coefficient be negative, we need to multiply this product by a negative number. any negative number will do, but we choose a small (magnitude) value that will eliminate the fraction: -2.

then

f(x) = -2(x +2)(x -1/2)(x -3) = -(x +2)(2x -1)(x -3)

= -(2x² +3x -2)(x -3)

= -(2x³ -3x² -11x +6)

f(x) = -2x³ +3x² +11x -6

2. a graph created by the desmos on-line graphing calculator is shown, and the zeros are highlighted.

3. as indicated in part 1, the multiplier of this equation can be anything and the zeros will remain the same. you want a negative leading coefficient, so the "anything" is restricted to any of the infinite number of numbers that will make that be the case.