Every year you age (a) and grow at least 2 inches (H) per year. How do we compute this in Functions? H(a) = 2 + a (Addition) How? It's easy. As you age, you will grow. When do we use Addition? If things adds up at the same time.

A car can travel up to 60 km (D) per hour (t). How do we compute this in Functions? D(t) = 60(t) (Multiply) How? As the car goes by per hour, its adds up to another kilometers. We can't use addition since the results will be 60 km + 1 = 61. When do we use Multiplication? When numbers are too big. For example this equation above.

A Battery (B) loses about 12% per hour (h). How do we compute this in Functions? B(h) = 100 - 0.12h (Subtraction) How? IDK. I use common sense on this one. I can't explain. When do we use Subraction? IDK TOO!

Squares of side x are cut from each corner of a 10 in x 8 in rectangle, so that its sides can be folded to make a box with no top. How do we compute this in Functions? First, the length of the box is '10x - 2x' & the width of the box is '8x - 2'. Now for the equation. V(x) = (10 - 2x)(8 - 2x)(x) = 80x - 36x^2 + 4x^3. How? Cite it as A, B, C, D. First, multiply the A and B giving us the equal to 80. Second, multiply the A and D equals to -20x. Third, multiply the B and C having us an answer of -16x Lastly, multiply the B, D and X and we will be having and answer of +4x^3. And then we add -20x and -16x equals to -36x^2. The final answer is 80x - 36x^2 + 4x^3.

The cost of hiring a catering service (C) to serve food for a party is ₱250.00 per head for 50 persons or less, ₱200.00 per head (h) for 51 to 100 persons, and ₱150.00 per head for more than 100. Represent the total cost as a piecewise function of the number of attendees to the party. Answer: 250 if n ≤ 50 - Cost for a service to at least 50 persons C(h) { 200 if 51 ≤ n ≤ 100 -Cost for a service to 51 to 100 persons 150 if n > 100 - Cost for a service per person

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What are the types of functions?

Their sum, denoted by f + g, is the function denoted by (f + g)(x) = f(x) + g(x).

Their difference, denoted by f - g, is the function denoted by (f - g)(x) = f(x) - g(x).

Their product, denoted by f • g, is the function denoted by (f • g)(x) = f(x) • g(x).

Their quotient, denoted by f / g, is the function denoted by (f / g) = f(x) / g(x).

The composite function denoted by (f ° g)(x) = f(g(x)). The process ofobtaining a composite function is called function composition.