Expert: Lynn Houston - 3/22/2009

Question
5. Determine the vertex coordinates for:  
  f(x) = 2(x - 5)^2 - 8

a.) (5,-8)           b.) (-5,8)

c.) (-8,5)           d.) (8,-5)




6. Determine the domain for:
  f(x) = 9 - 8x - x^2

a.) D = {y ≤ 25}          b.) D = {all reals}

c.) D = {y ≥ 25}          d.) D = {y < 25}



7. Determine the domain for:
  g(x) = (6 + x)(4 + x)

a.) D = {y ≥ -0.5}       b.) D = {all reals}

c.) D = {y ≥ 0.5}        d.) D = ø



8. Determine the domain for:  
  f(x) = 2(x - 5)^2 - 8

a.) D = {x ≥ -8}        b.) D = {3,7}

c.) D = {all reals}     d.) D = {-8}



9. Determine the range for:  
f(x) = 9 - 8x - x^2

a.) R = {y ≥ 25}        b.) R = {y ≤ 25}

c.) R = {all reals}     d.) R = ø




10. Determine the range for:  
   g(x) = (6 + x)(4 + x)

a.) R = {y ≥ -1}        b.) R = {all reals}

c.) R = {y ≥ -5}        d.) R = ø



11. Determine the range for:
   f(x) = 2(x - 5)^2 - 8

a.) R = {y ≥ -8}         b.) R = {y ≥ 5}

c.) R = {all reals}      d.) R = ø



12. Determine the range for:  
  f(x) = 9 - 8x - x2

a.0 R = {y ≥ 25}          b.) R = {y ≤ 25}

c.) R = {all reals}       d.) R = ø



21. Determine the quadratic equation with integral coefficients having the roots: 2 + sqrt7 and 2 - sqrt7  

a.) x^2 - 4x - 3 = 0      b.) x^2 + x + 2 = 0

c.) x^2 + x - 2 = 0       d.) x^2 + 4x - 3 = 0  

Answer
5. Determine the vertex coordinates for:  
 f(x) = 2(x - 5)^2 - 8

a.) (5,-8)           


6. Determine the domain for:
 f(x) = 9 - 8x - x^2

b.) D = {all reals}


7. Determine the domain for:
 g(x) = (6 + x)(4 + x)

b.) D = {all reals}


8. Determine the domain for:  
 f(x) = 2(x - 5)^2 - 8

c.) D = {all reals}


9. Determine the range for:  
f(x) = 9 - 8x - x^2

b.) R = {y ≤ 25}


10. Determine the range for:  
  g(x) = (6 + x)(4 + x)

a.) R = {y ≥ -1}


11. Determine the range for:
  f(x) = 2(x - 5)^2 - 8

a.) R = {y ≥ -8}


12. Determine the range for:  
 f(x) = 9 - 8x - x2

b.) R = {y ≤ 25}


21. Determine the quadratic equation with integral coefficients having the roots: 2 + sqrt7 and 2 - sqrt7  

a.) x^2 - 4x - 3 = 0     

Aren't 9 and 12 the same?