To find the slope of a function, we utilize the formula: slope = (f(x2) - f(x1))/(x2 - x1). This formula reflects the change in y values (f) over the change in x values.
To calculate the slope for the first function:
1. Identify x1 = 0, x2 = 1, f(x1) = f(0) = 3 and f(x2) = f(1) = 5 from the information provided.
2. Substitute these values into our slope formula. This gives us: slope = (5 - 3) / (1 - 0).
3. Upon simplifying we get: slope = 2/1 which is equal to 2.
Therefore, for the first function, the answer is b) Slope = 2.
Moving on to the second function:
1. Identify x1 = 1, x2 = 2, f(x1) = f(1) = 9 and f(x2) = f(2) = 4 from the information provided.
2. Substitute these values into our slope formula. This gives us: slope = (4 - 9) / (2 - 1).
3. Upon simplifying we get: slope = -5/1 which is equal to -5.
Therefore, for the second function, the answer is a) Slope = -5.
In conclusion, for the provided functions, we can determine that the slopes are 2 and -5 respectively.