The table below shows the values for the function y=f(x).
x= -3, -1, 0, 5, 6
y= 5, -4, 2, 18, 3
if g(x)=1/2f(x), which of the following are solutions to g(x)? select all that apply.
(-3,5.5)
(-1,-2)
(0,4)
(5,-8)
(6, 3/2)
To find the values for g(x), we need to multiply each value of f(x) by 1/2.
For x = -3:
g(-3) = (1/2) * f(-3) = (1/2) * 5 = 2.5
For x = -1:
g(-1) = (1/2) * f(-1) = (1/2) * (-4) = -2
For x = 0:
g(0) = (1/2) * f(0) = (1/2) * 2 = 1
For x = 5:
g(5) = (1/2) * f(5) = (1/2) * 18 = 9
For x = 6:
g(6) = (1/2) * f(6) = (1/2) * 3 = 1.5
So, the solutions to g(x) are:
(-3, 2.5), (-1, -2), (0, 1), (5, 9), (6, 1.5)
Therefore, the correct options are:
(-3, 2.5)
(-1, -2)
(0, 1)
(5, 9)
(6, 1.5)