Cycle 1- Cycle 2 General Mathematics

Poll

Is one-to-many relation a function?

• YES! YES! YES!

• NO! NO! NO!

Poll

Is this relation a function?

• YES! YES! YES

• NO! NO! NO!

Poll

$$\left\{\left(0,2\right).\left(2,1\right)\left(1,3\right)\left(5,1\right),\left(7,0\right)\right\}$$

Is the relation written above a function?

• YES! YES! YES!

• NO! NO! NO!

Poll

Is this relation a function?

• YES! YES! YES!

• NO! NO! NO!

Poll

Is the equation $$2x^2-6y=17$$ a function?

• YES! YES! YES!

• NO! NO! NO!

Poll

Is the graph of relation on the right a function?

• YES! YES! YES!

• NO! NO! NO!

Math Response

$$f\left(x\right)=12x^2-10x+11,\ f\left(1\right)$$

Evaluate the function above..

Type answer here

Correct Answer: 13

Deg^°

Rad

Math Response

$$f\left(x\right)=5x^2-6x+7,\ f\left(3\right)$$

Evaluate the function above..

Type answer here

Correct Answer: 34

Deg^°

Rad

Math Response

$$f\left(x\right)=\frac{1}{2}x^3-2x^2+3x-5,\ f\left(2\right)$$

Evaluate the function above..

Type answer here

Correct Answer: -3

Deg^°

Rad

Math Response

Gabriel's allowance per school day in pesos can be represented by the function, $$f\left(x\right)=3x^2-4x+3$$ what will be her projected allowance after her first school week?

Type answer here

Correct Answer: 85

Deg^°

Rad

Math Response

If $$f\left(x\right)=4x+7$$ and $$g\left(x\right)=3x^{2\ }+7x-3$$ , find $$\left(f+g\right)\left(x\right)$$

Type answer here

Correct Answer: 3x^2+11x+4

Deg^°

Rad

Math Response

If $$f\left(x\right)=4x+7$$ and $$g\left(x\right)=3x^{2\ }+7x-3$$ , find $$\left(g-f\right)\left(x\right)$$

Type answer here

Correct Answer: 3x^2+3x-10

Deg^°

Rad

Math Response

Given, $$f\left(x\right)=5x^{2\ }-11x+12$$ and $$g\left(x\right)=2x-3$$ , find $$\left(f\cdot g\right)\left(x\right)$$

Type answer here

Correct Answer: 10x^3-37x^2+57x-36

Deg^°

Rad

Math Response

Let $$f\left(x\right)=2x^{2\ }-10x+12$$ and $$g\left(x\right)=x-3$$ , find $$\left(f\div g\right)\left(x\right)$$

Type answer here

Correct Answer: 2x-4

Deg^°

Rad

Math Response

Let $$f\left(x\right)=2x^{2\ }-10x+12$$ and $$g\left(x\right)=x-3$$ , find $$\left(f\div g\right)\left(x\right)$$

Type answer here

Correct Answer: 2x-4

Deg^°

Rad

CONSIDER THIS WORD PROBLEM

The cost to make a slice of pizza is Php25. All the machineries will cost around Php3000. Jimmy plans to sell a slice of pizza for Php60 each. Write a function representing the following and determine how many slices of pizza Jimmy needs to sell in order to gain a profit.

a. Total cost

b. Total revenue

c. Total profit

Math Response

Let $$f\left(x\right)=x^2-5x+2$$ and $$g\left(x\right)=7x+11$$ find $$g\left(f\left(x\right)\right)$$

Type answer here

Correct Answer: 7x^2-35x+25

Deg^°

Rad

Math Response

Let $$f\left(x\right)=x^2-5x+2$$ and $$g\left(x\right)=7x+11$$ find $$f\left(g\left(x\right)\right)$$

Type answer here

Correct Answer: 49x^2+119x-31

Deg^°

Rad

CONSIDER THIS PROBLEM

There are 5 piglets born from a single mommy pig. For every 8 piglets, there must be a pen built to accommodate them. Create a function that will represent the following:

a. The number of piglets born for every mommy pig.

b. The number of pens built for every piglet.

c. The number of pens built for every mommy pig.