1. Show the output of the following program: #include using namespace std; int mystery(int); int main()

{ int n; for (n = 1; n <= 5; n++) cout << mystery(n) << endl;

return 0;

} int mystery(int k)

{ int x, y; y = k; for (x = 1; x <= (k - 1); x++) y = y * (k - x);

return y;

}

2. Consider the following function prototypes:

int test(int, char, double, int);

double two(double, double);

char three(int, int, char, double);

Answer the following questions.

a. How many parameters does the function test have? What is the type of the function test ?

b. How many parameters does function two have? What is the type of function two?

c. How many parameters does function three have? What is the type of function three?

d. How many actual parameters are needed to call the function test?

e. What is the type of each actual parameter, and in what order should you use these parameters in a call to the function test?

f. Write a C++ statement that prints the value returned by the function test with the actual parameters 5, 5, 7.3, and 'z'.

3. Write the definition of a function that takes as input three numbers and returns the sum of the first two numbers multiplied by the third number. (Assume that the three numbers are of type double.)

4. Write the definition of a function that takes as input the three numbers. The function returns true if the first number to the power of the second number equals the third number; otherwise, it returns false. (Assume that the three numbers are of type double.)

5. What is the error in following function definitions?

a. void total(int value1, value2, value3)

{ return value1 + value2 + value3;

}

b. double average(int value1, int value2, int value3)

{ double average;

average = value1 + value2 + value3 / 3;

}