Function Operations

FUNCTIONS

100

For the given coordinates, {(0,5), (-2,7),(-2-1)}, state the domain and range.

What is D: {0,-2) & R: {5,-7,1}

200

If f(x)=3x-5, then f(0) equals what?

What is -5

300

If f(x)=2x+3, then f(-3) equals what?

What is -3

Addition

100

Let f(x)=4x-1 and g(x)=2x^2+3. Then f(x)+g(x) equals what?

What is What is 2x^2 + 4x + 2

200

Let f(x)=-3x+2 and g(x)=5-x. Then f(x)+g(x) equals what?

What is -4x + 7

300

Let f(x)=3x+5 and g(x)=x^2. Then f(x)+g(x) equals what?

What is x^2 + 3x + 5

Subtraction

100

Let f(x)=4x-1 and g(x)=2x^2+3. Then f(x)-g(x) equals what?

What is -2x^2 + 4x - 4

200

Let f(x)=4x-1 and g(x)=2x^2+3. Then g(x)-f(x) equals what?

What is 2x^2 - 4x - 4

300

Let f(x)=-3x+2 and g(x)=-2x^2+9. Then f(x)-g(x) equals what?

What is 2x^2 - 3x - 7

Multiplication

100

Let f(x)=4x-1 and g(x)=2x^2+3. Then f(x)*g(x) equals what?

What is 8x^3 - 2x^2 + 12x - 3

200

Let f(x)=3x+5 and g(x)=x^2. Then f(x)*g(x) equals what?

What is 3x^3 + 5x^2

300

Let f(x)=2x^2+x-3 and g(x)=x-1. Then f(x)*g(x) equals what?

What is 2x^3 - x^2 - 4x +3

PIECE-WISE

100

The minimum cost for a taxi ride is P90 for the first 4 miles. A fee of P10 will be added for each additional mile. Write a piecewise function to model the situation

f(x) = 9 if 0<x<=4

         90+10(x-4) if x>4

200

A cell phone company charges P35 a month for a calling plan. After 500 minutes are used, the plan charges P15 per minute. Write a piecewise function for the above description.

f(x) ={ 35   if 0 <= x <= 500

         { 35 + 15(x-500)   if x > 500

300

There is no tax on income up to $15,000. Income over $15,000 and up to $30,000 is taxed at 12%. Income over $30,000 is taxed at 18%. Write a piecewise function for the income tax for the above information

t(x) =  0       if x<= $15,000

          .12x   if $15,000 < x <= $30,000

          .18x   if x > $30,000