Graphing
Graph the following:
y<x+1
y> or equal to x^2 - 1.
What are any whole coordinates on the graph that is a solution?
Any of these coordinates work: [(0,-2)(0,-1)(0,0)(0,1)(1,0)(1,-1)(1,1)(1,2)(-1,0)(-1,-1)(2,0)(2,1)(2,2)(2,3)(3,3)(3,4)]
17x - 2x^2 - 8 = 0
x= 8
-x^2 +3x= -10 solve for x
x=5
Solve for all possible values:
z^3 - z^2 - 12z = 0
z= -3, 0, 4
g(x) is f(x) reflected over the x-axis and a vertical shift 4 units down. What is the equation of g(x)?
g(x)= 9x^2 - 1
Graph the following:
f(x) = (squareroot of x)
g(x) = (squareroot of x - 3)
What transformation occurred between f(x) and g(x)?
Horizontal transformation 3 units right
Solve for all possible values:
12n^2 + 48n = -n^3 - 64
n=-4
4x^2 - 35 = 65 solve for x
x=5
If f(x) = 2x-1 and g(x)= 8x^2+1 and h(x) = 7x-3, what is h(g(f(x))) when x = 0?
60
John buys a camera costing 1200$. To work off the money, John plans to take people’s wedding pictures for 300$ a wedding. If John can work 1 wedding a week, how many weeks will it take for John to pay off his camera?
4 weeks
The parent function of g(x) is f(x) = x^2.
If g(x)=(x+10)^2 − 3, what transformations took place?
Translation 10 units left, translation 3 units down
What is 2x^4 - 4x^3 - 9x^2+27x-7 when x=4?
213
-1/2x^2 −10= 3/2x^2 solve for x
No real solution.
If f(x) = 3x +2 and g(x) = 9x, what is f(x)g(x)?
27x^2 + 18x
Simplify
-5*(square root -9)
-15i
Graph the following:
f(x) = (cubedroot of x)
g(x) = (cubedroot of x + 9)
What transformation occurred?
Horizontal transformation 9 units left
(Square root 64x^2) + 20 = 0 Simplify and then find x
8x + 20
x= 2.5
25x^2 −8x=12x−4
x = 2/5
If f(x) = 2x-1 and g(x)= 8x^2+1 and h(x) = 7x-3, what is f(g(g(x))) when x = 1?
1297
64^⅓
Graph the following:
f(x) = 3x^2 + 7.
What is the domain and range of this graph?
Domain: -infinity less than or equal to x less then or equal to infinity
Range: 7 less than or equal to x less than or equal to infinity
What is x? x^4 - 12x^3 + 54x^2 - 108x + 81?
x=3
(Square root of 5x + 1) = 6
x=7
If f(x) = 2x-1 and g(x)= 8x^2+1 and h(x) = 7x-3, what is f(g(h(x))) when x = 2?
1937
f(x) = 1/3x + 3
g(x) is f(x) with a horizontal shrink by a factor of ⅓
g(x) = x + 3