w riting a f unction r ule :. w rite a function rule from the table : xf(x) 1 20 31 42

24
WRITING A FUNCTION RULE:

Upload: scarlett-cummings

Post on 18-Jan-2018

217 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: W RITING A F UNCTION R ULE :. W RITE A FUNCTION RULE FROM THE TABLE : xF(x) 1 20 31 42

WRITING A FUNCTION RULE:

Page 2: W RITING A F UNCTION R ULE :. W RITE A FUNCTION RULE FROM THE TABLE : xF(x) 1 20 31 42
Page 3: W RITING A F UNCTION R ULE :. W RITE A FUNCTION RULE FROM THE TABLE : xF(x) 1 20 31 42
Page 4: W RITING A F UNCTION R ULE :. W RITE A FUNCTION RULE FROM THE TABLE : xF(x) 1 20 31 42

WRITE A FUNCTION RULE FROM THE TABLE:

x F(x)1 -1

2 0

3 1

4 2

Page 5: W RITING A F UNCTION R ULE :. W RITE A FUNCTION RULE FROM THE TABLE : xF(x) 1 20 31 42

WRITE A FUNCTION RULE FROM THE TABLE:

x F(x)1 -1

2 0

3 1

4 2

Ask yourself, “What can I do to 1 to get to -1, 2 to get to 0….?

Page 6: W RITING A F UNCTION R ULE :. W RITE A FUNCTION RULE FROM THE TABLE : xF(x) 1 20 31 42

WRITE A FUNCTION RULE FROM THE TABLE:

x F(x)1 -1

2 0

3 1

4 2

Ask yourself, “What can I do to 1 to get to -1, 2 to get to 0….?

Subtract 2 from each input value.

Page 7: W RITING A F UNCTION R ULE :. W RITE A FUNCTION RULE FROM THE TABLE : xF(x) 1 20 31 42

WRITE A FUNCTION RULE FROM THE TABLE:

x F(x)1 -1

2 0

3 1

4 2

Ask yourself, “What can I do to 1 to get to -1, 2 to get to 0….?

Subtract 2 from each input value.

So, f(x) equals x minus 2.

Page 8: W RITING A F UNCTION R ULE :. W RITE A FUNCTION RULE FROM THE TABLE : xF(x) 1 20 31 42

WRITE A FUNCTION RULE FROM THE TABLE:

x F(x)1 -1

2 0

3 1

4 2

Ask yourself, “What can I do to 1 to get to -1, 2 to get to 0….?

Subtract 2 from each input value.

So, f(x) equals x minus 2.

f(x) = x – 2

Page 9: W RITING A F UNCTION R ULE :. W RITE A FUNCTION RULE FROM THE TABLE : xF(x) 1 20 31 42

WRITE A FUNCTION RULE FROM THE TABLE:

x f(x)-4 -2-2 -16 38 4

Ask yourself, “What can I do to -4 to get to -2?” to -2 to get to -1…?

Page 10: W RITING A F UNCTION R ULE :. W RITE A FUNCTION RULE FROM THE TABLE : xF(x) 1 20 31 42

WRITE A FUNCTION RULE FROM A VERBAL EXPRESSION, AND SOLVE USING THE RULE:

Page 11: W RITING A F UNCTION R ULE :. W RITE A FUNCTION RULE FROM THE TABLE : xF(x) 1 20 31 42

WRITE A FUNCTION RULE FROM A VERBAL EXPRESSION, AND SOLVE USING THE RULE: Your uncle Fred loaned you $210 to buy a

lawn mower. You charge $35 to mow one lawn. Write the function rule for your profit. Determine the breakeven point.

Page 12: W RITING A F UNCTION R ULE :. W RITE A FUNCTION RULE FROM THE TABLE : xF(x) 1 20 31 42

WRITE A FUNCTION RULE FROM A VERBAL EXPRESSION, AND SOLVE USING THE RULE: Your uncle Fred loaned you $210 to buy a

lawn mower. You charge $35 to mow one lawn. Write the function rule for your profit. Determine the breakeven point. Profit is equal to income less the expense.

Page 13: W RITING A F UNCTION R ULE :. W RITE A FUNCTION RULE FROM THE TABLE : xF(x) 1 20 31 42

WRITE A FUNCTION RULE FROM A VERBAL EXPRESSION, AND SOLVE USING THE RULE: Your uncle Fred loaned you $210 to buy a

lawn mower. You charge $35 to mow one lawn. Write the function rule for your profit. Determine the breakeven point. Profit is equal to income less the expense. Profit is the dependent variable since it depends

on the number of lawns you mow.

Page 14: W RITING A F UNCTION R ULE :. W RITE A FUNCTION RULE FROM THE TABLE : xF(x) 1 20 31 42

WRITE A FUNCTION RULE FROM A VERBAL EXPRESSION, AND SOLVE USING THE RULE: Your uncle Fred loaned you $210 to buy a

lawn mower. You charge $35 to mow one lawn. Write the function rule for your profit. Determine the breakeven point. Profit is equal to income less the expense. Profit is the dependent variable since it depends

on the number of lawns you mow. Therefore, the independent variable is the

number of lawns mowed, and represents the income.

Page 15: W RITING A F UNCTION R ULE :. W RITE A FUNCTION RULE FROM THE TABLE : xF(x) 1 20 31 42

WRITE A FUNCTION RULE FROM A VERBAL EXPRESSION, AND SOLVE USING THE RULE: Your uncle Fred loaned you $210 to buy a

lawn mower. You charge $35 to mow one lawn. Write the function rule for your profit. Determine the breakeven point. Profit is equal to income less the expense. Profit is the dependent variable since it depends

on the number of lawns you mow. Therefore, the independent variable is the

number of lawns mowed, and represents the income.

The constant quantity is the cost of the lawn mower, and represents the expense.

Page 16: W RITING A F UNCTION R ULE :. W RITE A FUNCTION RULE FROM THE TABLE : xF(x) 1 20 31 42

WRITE A FUNCTION RULE FROM A VERBAL EXPRESSION, AND SOLVE USING THE RULE: Your uncle Fred loaned you $210 to buy a lawn

mower. You charge $35 to mow one lawn. Write the function rule for your profit. Determine the breakeven point. Profit is equal to income less the expense. Profit is the dependent variable since it depends

on the number of lawns you mow. Therefore, the independent variable is the number

of lawns mowed, and represents the income. The constant quantity is the cost of the lawn

mower, and represents the expense. At the breakeven point there is no profit, p(m) = 0

Page 17: W RITING A F UNCTION R ULE :. W RITE A FUNCTION RULE FROM THE TABLE : xF(x) 1 20 31 42

WRITE A FUNCTION RULE FROM A VERBAL EXPRESSION, AND SOLVE USING THE RULE: Your uncle Fred loaned you $210 to buy a lawn

mower. You charge $35 to mow one lawn. Write the function rule for your profit. Determine the breakeven point. Profit is equal to income less the expense. Profit is the dependent variable since it depends

on the number of lawns you mow. Therefore, the independent variable is the number

of lawns mowed, and represents the income. The constant quantity is the cost of the lawn

mower, and represents the expense. At the breakeven point there is no profit, p(m) = 0 m = number of lawns mowed

Page 18: W RITING A F UNCTION R ULE :. W RITE A FUNCTION RULE FROM THE TABLE : xF(x) 1 20 31 42

WRITE A FUNCTION RULE FROM A VERBAL EXPRESSION, AND SOLVE USING THE RULE: Your uncle Fred loaned you $210 to buy a lawn

mower. You charge $35 to mow one lawn. Write the function rule for your profit. Determine the breakeven point. Profit is equal to income less the expense. Profit is the dependent variable since it depends

on the number of lawns you mow. Therefore, the independent variable is the number

of lawns mowed, and represents the income. The constant quantity is the cost of the lawn

mower, and represents the expense. At the breakeven point there is no profit, p(m) = 0 m = number of lawns mowed p(m) = profit (profit is a function of m)

Page 19: W RITING A F UNCTION R ULE :. W RITE A FUNCTION RULE FROM THE TABLE : xF(x) 1 20 31 42

WRITE A FUNCTION RULE FROM A VERBAL EXPRESSION, AND SOLVE USING THE RULE: Your uncle Fred loaned you $210 to buy a lawn

mower. You charge $35 to mow one lawn. Write the function rule for your profit. Determine the breakeven point. Profit is equal to income less the expense. Profit is the dependent variable since it depends on

the number of lawns you mow. Therefore, the independent variable is the number of

lawns mowed, and represents the income. The constant quantity is the cost of the lawn mower,

and represents the expense. At the breakeven point there is no profit, p(m) = 0 m = number of lawns mowed p(m) = profit (profit is a function of m) Your profit equals your income minus your expenses

Page 20: W RITING A F UNCTION R ULE :. W RITE A FUNCTION RULE FROM THE TABLE : xF(x) 1 20 31 42

WRITE A FUNCTION RULE FROM A VERBAL EXPRESSION, AND SOLVE USING THE RULE: Your uncle Fred loaned you $210 to buy a lawn

mower. You charge $35 to mow one lawn. Write the function rule for your profit. Determine the breakeven point. Profit is equal to income less the expense. Profit is the dependent variable since it depends on

the number of lawns you mow. Therefore, the independent variable is the number of

lawns mowed, and represents the income. The constant quantity is the cost of the lawn mower,

and represents the expense. At the breakeven point there is no profit, p(m) = 0 m = number of lawns mowed p(m) = profit (profit is a function of m) Your profit equals your income minus your expenses Profit = 35 times the number of lawns mowed minus

cost of the mower.

Page 21: W RITING A F UNCTION R ULE :. W RITE A FUNCTION RULE FROM THE TABLE : xF(x) 1 20 31 42

WRITE A FUNCTION RULE FROM A VERBAL EXPRESSION, AND SOLVE USING THE RULE: Your uncle Fred loaned you $210 to buy a lawn mower.

You charge $35 to mow one lawn. Write the function rule for your profit. Determine the breakeven point. Profit is equal to income less the expense. Profit is the dependent variable since it depends on the

number of lawns you mow. Therefore, the independent variable is the number of

lawns mowed, and represents the income. The constant quantity is the cost of the lawn mower, and

represents the expense. At the breakeven point there is no profit, p(m) = 0 m = number of lawns mowed p(m) = profit (profit is a function of m) Your profit equals your income minus your expenses Profit = 35 times the number of lawns mowed minus cost

of the mower. p(m) = 35m – 210

Page 22: W RITING A F UNCTION R ULE :. W RITE A FUNCTION RULE FROM THE TABLE : xF(x) 1 20 31 42

TO FIND THE BREAK EVEN POINT, SET THE PROFIT EQUAL TO ZERO.

Page 23: W RITING A F UNCTION R ULE :. W RITE A FUNCTION RULE FROM THE TABLE : xF(x) 1 20 31 42

TO FIND THE BREAK EVEN POINT, SET THE PROFIT EQUAL TO ZERO. 0 = 35m – 210

Page 24: W RITING A F UNCTION R ULE :. W RITE A FUNCTION RULE FROM THE TABLE : xF(x) 1 20 31 42