A function of the form 𝑓(𝑥)=𝑎|𝑥|𝑓(𝑥)=𝑎|𝑥| contains the point (2,−2)(2,−2). What is the value of 𝑎𝑎 for this function. 𝑎=𝑎= Answer 1 Question 2

The question seems to be a bit jumbled, but I understand that you're asking for the value of 'a' in the function f(x) = a|x|, given that the point (2, -2) lies on the function.

The absolute value function, f(x) = a|x|, will always yield a positive output for any real number input, because the absolute value of any number is always positive or zero. Therefore, it's impossible for the function to contain the point (2, -2) because the y-coordinate of any point on the function must be positive (or zero) if 'a' is positive, or it must be negative (or zero) if 'a' is negative.

However, if we assume that there's been a mistake and the point is actually (2, 2), then we can substitute these values into the function to find 'a':

2 = a|2| 2 = 2a a = 1

So, if the point is (2, 2), then the value of 'a' is 1. If the point is indeed (2, -2), then there's no valid value of 'a' for which the function f(x) = a|x| can contain this point.