Functioning?
(Functions)
(Functions)
Is the following set of data a function?
{(0,1), (1,2), (2,3), (4,5), (4,6)}
Not a function.
Suzy has 8 apples. Ben had 3 strawberries. If Ben ate 1 strawberry and 1 apple, what axis correlates to the domain?
x-axis
f(x) = 3x + 2 and g(x) = 2x - 3
Evaluate (f + g)(x)
5x - 1
Describe the transformation, if the parent function is f(x) = |x|
g(x) = |x - 2| + 2
2 units right
2 units up
Solve
|x + 3| = 9
-12, 6
Given f(x) = 3x2 + 3x - 3
What is f(3)?
33
Given the following set of data points, what is its domain and range?
{(1,2), (3,3), (4, 5), (9,9), (10,11)}
Domain: {1,3,4,9,10}
Range: {2,3,5,9,11}
f(x) = 2x2 + 2x - 2 and g(x) = 3x + 5
Evaluate (g - f)(x)
-2x2 + x + 7
If a graph undergoes vertical reflection, what axis is it being reflected over?
x-axis
Solve
8|x - 2| + 3 = -2
No solution.
Given g(x) = 4x2 - 2
What is g(x + h)?
4x2 + 8xh + 4h2 - 2
What is the domain of the following function?
h(x) = sqrt(x + 2)
Express your answer in interval notation.
[-2, inf)
f(x) = 9x - 3 and g(x) = 2x2 + 3
Evaluate (f(3))(g(3))
504
Describe the transformation, if the parent function is f(x) = x2
g(x) = (-x + 3)2 + 3
3 units left
3 units up
Horizontal Reflection (Reflection over y-axis)
Solve
3|9x + 2| - 11 = -2
-5/9, 1/9
Given f(x) = 3x + 3
Find the difference quotient.
3
What is the domain of the following function?
h(x) = (x+2)/(x+3)
Express your answer in interval notation.
(-inf, -3)U(-3, inf)
f(x) = 9x - 3 and g(x) = 2x2 + 3
Evaluate (f o g)(3)
186
Given the function f(x) = 3x + 3.
If the graph is shifted down 2 units to make another function, h(x); what is h(x)?
h(x) = 3x + 1
Solve
|2x + 3| = |-5x + 3|
0, 2
Given f(x) = 2x2 + 4x - 8
Find the difference quotient.
4x + 2h + 4
Draw a graph with the following conditions:
Domain: [3, inf)
Range: (-inf, 2]
Good Job!
f(x) = 6x2 - 6 and g(x) = 2x2 + 2
Evaluate (g o f)(3)
4610
Draw the parent and transformed function.
Parent Function: f(x) = |x|
Transformed Function: g(x) = |x - 2| + 2
Good Job!
Solve
|9x + 2| = |-10x - 5|
-7/19, -3