3. mydetecttop (f, a, t) which takes three inputs: [50 pts] f: A function handle. a: A real number. t: A real number. Note: You may assume that f is increasing at x = a but there is a cutoff x = b > a after which f starts decreasing. Does: Uses a while loop to check f (x) for x = a, x = a + 3t, x = a + 6t, ... until a value is smaller than the previous value. Returns: The x value (not the f (x) value!) for which this happens

function n = mydetecttop (f, a, t)

n = a;

value1 = f (n);

i1 = 4;

while (true)

n = a + i1*t;

value2 = f (n);

if (value2 < value1)

break

end

value1 = value2;

i1 = i1 + 4;

end

end

function t = atc (n)

if (n<25)

t = n + 1;

else

t = 0 - n;

end

end

f = @atc;

n = mydetecttop (f, 1, 2)

Explanation:

Run a while loop until the required value is found and update the value of the variable n. Check if value2 is less than value1 and then break out of the loop. Update the value of the variable i1 by adding 4. Finally test the mydetecttop (f, a, t) function.