Compare the functions y = 2x and y = 2X Which of the following statements are true? Check all that
apply
For any x-value, the y-value of the exponential function is always greater
For any x-value, the y-value of the exponential function is always smaller.
For some x-values, the y-value of the exponential function is smaller.
For some x values, the y value of the exponential function is greater.
For any x-value greater than 7, the y-value of the exponential function is greater.
For equal intervals, the y-values of both functions have a common ratio.

Solution:

x=-2 and x=6

Option 3 correct

Step-by-step explanation:

Given: The function, f(x)=3|x-2|+6

To find x when f(x)=18

Out the function equal to 18

3|x - 2| + 6 = 18

Now simplify the equation for x.

3|x - 2| + 6 -6 = 18 - 6                [subtraction property of equality]

         3|x - 2| = 12                      [Division property of equality]

           |x - 2| = 4

It is absolute value function. It gives two solution one negative and one positive.

x - 2 = 4       or       x - 2 = -4

    x = 4+2   or            x = -4+2

    x = 6       or            x = -2

Hence, The solution of x are -2 and 6