combinations of different functions work
WRITTEN RESPONSE
Determine whether the statement is true or false. Justify your answers.
- The graph of y = f(-x) is a reflection of the graph of y = f(x) in the x-axis.
- The graph of y = -f(x) is a reflection of the graph of y = f(x) in the y-axis.
MULTIPLE CHOICE
3. Given the functions: f(x) = x2 + 3x and g(x) = -3 + x what is f(x) + g(x) ?
x2 + 3x – 3
x2 + 4x – 3
x2 – 3x + 3
x2 – 4x + 3
4. Given the functions: f(x) = x + 4 and g(x) = x -3 what is (f*g)(x) ?
x2 + 3x + 12
x2 + x + 12
x2 + 4x – 12
x2 + x – 12
5. Given the functions: f(x) = x2 – 9 and g(x) = x-3 what is (f/g)(x) ?
x – 3
x – 9
x + 3
x + 9
6. Given the functions: f(x) = a2 – 2ab + b2c and g(x) = -3b2c + 6ab what is (f-g)(x) ?
a2 – 8ab + 4b2c
a2 – 8ab + 2b2c
a2 + 8ab – 2b2c
a2 + 8ab – 4b2c
7. Given the functions: f(x) = x2 + 3x and g(x) = -3 + x what is f(g(x)) ?
x2 – 3x
x2 – 3x + 9
x2 + 3x + 9
3x + 9