Prove or give a counterexample for each statement. a. If f is continuous on D and k ∈ R, then kf is continuous on D.
b. If f and f + g are continuous on D, then g is continuous on D.
c. If f and fg are continuous on D, then g is continuous on D.
d. If f2 is continuous on D, then f is continuous on D.
e. If f is continuous on D and D is bounded, then f(D) is bounded.
f. If f and g are not continuous on D, then f + g is not continuous on D.
g. If f and g are not continuous on D, then fg is not continuous on D.

Question 1(multiple choice worth 1 points)(07.06 mc)a group of students must collect at least $150 to organize a science fair. they have already collected $30. which graph best represents all remaining amounts of money, in dollars, that thestudents should still collect to organize the science fair? -210 -180 -150 - 120 -90-60 -300306090 120 150 180 210-210 -180 -150 - 120 -90 -60 -30 0 30 60 90 120 150 180 210-210 -180-150 - 120 -90-60-300 30 60 90 120 150 180 210-210 -180 -150 - 120.90 -60 -30 0 30 60 90 120 150 180 210

Find the quotient with the restriction.

What’s 8y+48 and factor each expression completely