1. Consider the following. (4, −2)
(a) Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is even.
(x, y) = (1, 2)
(b) Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is odd.
(x, y) = (3, 4)
2.Determine whether the function is even, odd, or neither. Then describe the symmetry.
1
even odd neither
Symmetry:
2
y-axis symmetry x-axis symmetry no symmetry origin symmetry x = y symmetry
3.Determine whether the function is even, odd, or neither. Then describe the symmetry.f(x) = x
1
even odd neither
Symmetry:
2
y-axis symmetry x = y symmetry no symmetry origin symmetry x-axis symmetr
4.Find the zeros of the function algebraically.f(x) = 36x4 − 16x2
5.Find the average rate of change of the function from x1 to x2.
Thankss again.
(a) Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is even.
(x, y) = (1, 2)
(b) Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is odd.
(x, y) = (3, 4)
2.Determine whether the function is even, odd, or neither. Then describe the symmetry.
| g(s) | = | 4s2/3 |
1
even odd neither
Symmetry:
2
y-axis symmetry x-axis symmetry no symmetry origin symmetry x = y symmetry
3.Determine whether the function is even, odd, or neither. Then describe the symmetry.f(x) = x
| 6 − x2 |
1
even odd neither
Symmetry:
2
y-axis symmetry x = y symmetry no symmetry origin symmetry x-axis symmetr
4.Find the zeros of the function algebraically.f(x) = 36x4 − 16x2
| x = | 1 (smallest value) |
| x = | 2 |
| x = | 3 (largest value) |
| Function | x-Values | |
| f(x) = x2 − 4x + 7 | x1 = 1, x2 = 6 |