6. What is the range of the function f(x) = 6x + 5 for the domain {–1, 0, 1, 2, 3}
x = -1, y = 6(-1) + 5 = -1
x = 0, y = 6(0) + 5 = 5
x = 1, y = 6(1) + 5 = 11
x = 2, y = 6(2) + 5 = 17
x = 3, y = 6(3) + 5 = 23
the domain {–1, 5, 11, 17, 23}
7. Find the slope of the graph of the equation 3x + 15y = 25
15y = -3x + 25
y = -1/5(x) + 5/3
slope = -1/5
8. What is the slope of the line that would be perpendicular to the graph of y = 6x – 2
y = 6x – 2 has slope = 6
perpendicular lines, slope is opposite and reciprocal so slope = -1/6
answer
-1/6
9. Verify that (-4, 12) is the solution to the system. Show work to justify your answer
2x + y = 5
2(-4) + 12 = 5
-8 + 12 = 5
4 = 5 this is false because 4 < 5
-5x-2y= -6
-5(-4)-2(12)= -6
20 - 24 = -6
-4 = -6 this is false because -4 > -6
answer
(-4, 12) is NOT the solution to the system
