Question

Given the function y= 2x if x>0 x−3 if x≤0 . Find its values for x=1; 3; 0; −2. Answer: If x = 1, then y = . If x = 3, then y = . If x = 0, then y = . If x = −2, then y = .

Answer 1

Explanation:

Given the function y= 2x if x>0 and x−3 if x≤0, to find the value of the function for x = 1, we will substitute x = 1 into the function y = 2x since x>0 at that point.

If x = 1;

y = 2(1)

y = 2

Hence when x = 1, y = 2

If x = 3, we will still use the function y = 2x since 3 is still grater than 0 satisfying the condition x>0.

y = 2(3)

y = 6

Hence when x = 3, y = 6

when x = 0, since x is zero, we will substitute x = 0 into the function x-3 because x≤0 at this point.

If y = x-3

y = 0-3

y = -3

Hence when x = 0, y = -3

when x = -2, we will substitute x = 0 into the function x-3 because -2 is also less than zero

If y = x-3 for x≤0

y = -2-3

y = -5

Hence when x = -2, y = -5