1.6
GIVEN
f (x) = x² + 16 g(x) = √x + 4
Evaluate.
1. (f + g)(x) =
2. (f − g)(x) =
3. (f/g)(x) =
4. (f * g)(x) =
Determine [f º g](x), [g º f](x), and [f º g](5)
f (x) = x2 − 16, g(x) = x2 + 8x + 15
1.7
Determine algebraically if f(x) and g(x) are functions.
1. f (x) =− 7x + 4 , g(x) = x−8
3
2. f (x) = 10x − 5
g(x) = x + 3
1
[f ° g]− (x) =
1.1
1) Find function values if f(x) = x2 + 3x ­6
a) f(3)
b) f(­12x)
c) f(2a+6)
2) Evaluate piecewise
h(x) = x2 ­ 2x ­ 8 for x ≥− 3
2x+12 for x ≤ 8
√x − 5 + 7 for x ≥− 2
1.2
1) Find the zeros for the following equations:
a) y = x2 ­ x ­ 6
b) y = 12x2 ­ 16x ­ 3
2) Find the domain and range for the following graph:
3) Determine whether the function is odd, even or neither:
a) f(x) = ­3x2 + 4
b) f(x) = 2x3 ­ 4x
Section 1.3
Is the function continuous at the given x­value? Justify with the continuity test. If
discontinuous, identify the type of discontinuity as infinite, jump, or removable.
1. Use the graph to describe the end­behavior of the function.
2.
Is the function
Section 1.4
Find the extrema, and determine whether or not the graph is increasing or decreasing
1)
2)
Section 1.5:
Describe the transformations of the parent functions:
1)
a)
b)
Draw these transformations:
2)
a) Parent function: y = x2 → Shifted down 3, to the right 4 and stretched vertically 2
b) Parent function: y = √x → Shifted up 2, to the left 5 and stretched by a factor of 0.5