The function is given by the formula y = 0.3x-6. find the value of the argument at which the value of the function is y = -6, -3, 0.
To find the value of the argument at which the given function is equal to a certain number, it is necessary to equate the value of the function to this number and solve the resulting equation.
1) Find the value of the function argument y = 0.3x – 6, at which the value of the function is equal to y = -6.
-6 = 0.3x – 6,
-6 + 6 = 0.3x,
0.3x = 0,
x = 0.
This means that at x = 0 the value of the given function is equal to y = -6.
2) Find the value of the function argument y = 0.3x – 6, at which the value of the function is equal to y = -3.
-3 = 0.3x – 6,
-3 + 6 = 0.3x,
0.3x = 3,
x = 3: 0.3,
x = 10.
This means that at x = 10 the value of the given function is equal to y = -3.
3) Find the value of the argument of the function y = 0.3x – 6, at which the value of the function is equal to y = 0.
0 = 0.3x – 6,
0 + 6 = 0.3x,
0.3x = 6,
x = 6: 0.3,
x = 20.
Hence, at x = 20, the value of the given function is equal to y = 0.