Test Your Functions Knowledge

  1. f(a)=2a2-80 If f(2c)=100, what is the value of c?
  2. x∆y=4x-2y+3xy This describes a relation for any two real numbers, x+y. If (2a+1)∆4=50, find the value of a∆a?
  3. c∇d=4ac+2cd+8d-8 If 4∇5=240, find 2∇3.
  4. Sales (s) are a function of price (p). s(p)=2p-14c+1800. When price is $8.00, sales are $1800.00. What should price be in order for sales to reach $2100.00?
  5. 2x-4y+2xy=3xz-8z+80 Solve for x as a function of y and z.
  6. Grades (g) are a function of effort (e) such that g=g(e)=2ke+80. Sam earns a grade of 100 when effort is only 8. To earn a grade of 95, what value of effort should he exert?