Show:
Analyzing Functions
Evaluating
Circles
Algebra of Functions
Transformations & Inverse
100
What is the domain: {(2,3),(6,8),(4,1),(7,3)}
2, 4, 6, 7
100
Given f(x) = 7 - 3x Find f(5)
-8
100
Identify the center and radius (x + 4)^2 + (y - 3)^2 = 81
Center (-4,3) Radius 9
100
f(x) = 2x^2 g(x) = 5x Find (fg)(x)
10x^2
100
Compare the graphs of f(x) = 2x and g(x) = 2x + 3
Vertical shift up 3 units
200
Is the set a function? Why or why not? {(1,1),(3,4),(5,7),(3,6),(2,9)}
Not a function because 3 maps to both 4 and 6
200
Given the function f(x) = x^2 + 3 Find f(a + b)
a^2 + 2ab + b^2 + 3
200
Write the equation of a circle whose center coordinates are (0, -2) and radius is 6
x^2 + (y + 2)^2 = 36
200
f(x) = x^2 + 13x + 4 g(x) = 7x - 3 Find (f - g)(x)
x^2 + 5x + 7
200
Compare the graphs of f(x) = x^2 and g(x) = -(x + 2)^2
Reflected over x-axis and moved to left 2 units
300
What is the range of the function f(x) = (x - 1)^2
y > 0
300
f(x) = l 2x + 5l g(x) = -3x + 1 Find (f o g)(2)
5
300
Determine the radius in simplest radical form (x - 4)^2 + (y - 9)^2 = 48
4 radical 3
300
f(x) = 4 - 2x g(x) = x^2 Find (g + 3f)(x)
x^2 -6x + 12
300
Given f(x) = l x l Write the equation for this function moved up 5 units and to the left 6 units
f(x) = l x + 6 l + 5
400
Is the function one-to-one, onto, both or neither? Explain y = l x + 3 l
Neither Not 1-1 fails HLT Not onto range is not all real numbers
400
f(x) = (x + 3)/2 g(x) = x^2 - 4 Find (f o g)(3)
4
400
The endpoints of a diameter of a circle are (6,1) and (-4,-5). What is the center of the circle?
(1,-2)
400
m(x) = 7x - 2 n(x) = 4x (m - n)(3)
7
400
What is the inverse of (x + 3)/4
f^-1(x) = 4x - 3
500
Identify the max or min and axis of symmetry for the function: g(x) = -x^2 + 4
Max (0,4) AOS x = 0 or x-axis
500
f(x) = l -3x + 7 l g(x) = -2x^2 h(x)= 3x - 4 Find (h o f o g)(0)
17
500
What is the equation of a circle with center (-2,3) that passes through point (1,4)
(x + 2)^2 + (y - 3)^2 = 10
500
g(x) = 5x + 3 h(x) = x + 4 (g(h(x))
5x + 23
500
Verify that f(x) = 2x - 4 and g(x) = (x + 4)/2 are inverses algebraically
(f o g) = (g o f) = I