iction Graphs Instructions The following is a collection of

iction Graphs Instructions. The following is a collection of bring this worksheet to class for each day we discuss this topic. Though some problesns will be assigned to solve for homework, others will be discussed in class. questions pertaining to the topic indicated above. Please 1. Evaluate the function at each specified value of the independant variable and simplify. flar) 2x2 +2. z>1 (a) f(x) 2x-3 i. f(-2) ii. f(x 1) 2. Find all real values of r such that f(x) = 0 (b) g(u) 7-3y (a) f(x) 15-3 i. g(0) ii. g(7/3) ii. g(s+ 2) (b))r +1 e) )3-4 (d) f(x)= 122 (e) f(x) -9 (c) h(t) = t2-21 i. h(2) i. h(r +2) i. f(-8) ii. f(x -8) i. 9(0) (f) /(z) = r2-B+ 15 3. Find the values of r for which f() gr). (d) f(r)-VE+8 + 2 (a) f(x)-x2 + 2r + 1, g(z) = 3r + 3 (b) f(x)-V3x + 1, g(z) = z+1 4. Find the domain of the function. (a) f(z) -5x2 +2r 1 (b) g(z) = 1-2r2 (c) h(t)= (d) 8(y)= i. 9(3) iii. g(v +3) (f) f(x) (f) f(s) (g) f(x)- i. f(2) ii. f(x -1) 5. Assume that the domain of f is A (-2,-1,0,1.2). Deternine the set of or dered pairs that represents the function f. (a) f(r) r (b) f(x)= +2 ii. f(0) ii. f(2)

Solution

b) g(y) = 7 - 3y

1) g(0) = 7 - 3(0) = 7

2) g(7/3) = 7 - 3(7/3) = 0

3) g(s+2) = 7 - 3(s+2)

= 7 - 3s - 6

= 1 - 3s

c) h(t) = t^2 - 2t

1) h(2) = 2^2 - 2(2) = 0

2) h(1.5) = 1.5^2 - 2(1.5) = -0.75

3) h(x+2) = (x+2)^2 - 2(x+2)

= x^2 + 2x + 4 - 2x - 4

= x^2

d) f(x) = sqrt (x+8) + 2

1) f(-8) = sqrt (-8+8) + 2

= 2

2) f(1) = sqrt 9 + 2

= 5

3) f(x-8) = sqrt ( x-8+8) + 2

= sqrt x + 2

h) 1) f(-2) = (-2)^2 + 2

= 6

2) f(1) = 1^2+ 2 = 3

3) f(2) = 2(2)^2 + 2

= 10