RELATIONS AND FUNCTION PRACTICE WORKSHEET ALGEBRA 2

Problem 1 :

Given the relation R = {(-2, 3) (a, 4) (1, 9) (0, 7)} which replacement for a makes this relation a function ?

a)  1    b) -2     c)  0      d) 4

Solution

Problem 2 :

Which relation is not a function ?

Solution

Problem 3 :

If f(x) = x² - 2x + 3, find the value of f(-2) 

Solution

Problem 4 :

If f(x) = (x - 2) / (x + 1), then the value of f(n + 1) is equal to 

Solution

Problem 5 :

If f(x) = 4x² - x + 1, then f(a + 1)  = ?

Solution

Problem 6 :

If f(x) = x² - 3x, find f(x/2)

Solution

Problem 7 :

1)  Find the following values of the function.

i) f(2) =    ii)  f(0) = 

2) For which of the values of x is this statement true ?

f(x) = 2

Solution

Problem 8 :

If the domain of f(x) = 2x + 3 is {-1, 0, 2} which number is not in range ?

a)   1      b)  2     c)  3      d)  7

Solution

Problem 9 :

The function is defined by the equation y = 8x - 3. If the domain is 2 ≤ x ≤ 4, find the minimum value in the range, find the minimum value in the range of the function.

Solution

Problem 10 :

Find the inverse of the following function

{(2, 6) (-3, 4) (-7, -5)}

The minimum value in the range is 13.

Solution

Problem 11 :

Find the inverse of the function

y = 3x + 2

Solution

Problem 12 :

In which of the following graphs

Solution

Problem 13 :

Which graph is not a function.

Solution

Problem 14 :

Which graph represents one to one function 

Solution