Things to Remember (5 Points)
This 2015 children's movie is about dealing with emotions, also the way that we read function composition.
Inside Out
#20 Factor 𝑥2 − 64 = 0
(x+8)(x-8)
#1 Solve the following pairs of simultaneous equations.
𝑥 + 𝑦 = 7 and 𝑥2 + 𝑦2 = 25
(4,3) and (3,4)
#5 Given 𝑓(𝑥) = 2𝑥2 − 3, 𝑥 ≥ 0 and 𝑔(𝑥) = 3𝑥 − 1
Find fg
18x2-12x-1
#10 Given 𝑗(𝑥) = 1/𝑥−2 , 𝑥 ≠ 2
Find j-1(x)
1/x +2
When factoring, the first step is to look for a...
Greatest Common Factor (GCF)
#21 Factor 124 = 𝑥2 + 3
(x+11)(x-11)
#2 Solve the following pairs of simultaneous equations.
𝑥 + 2𝑦 = 3 and 𝑥2+ 𝑥𝑦 = 2
(-4, 7/2) and (1, 1)
#6 Given 𝑔(𝑥) = 3𝑥 − 1 and ℎ(𝑥) = 𝑥+2/3
Find gh
x+1
#25 Factor 20𝑥2 = −25𝑥
5x(4x+5)
An equation for which each x-value in the domain will produce exactly one y-value.
Function
#22 Factor 9𝑥2 + 6𝑥 = −1
(3x+1)2
#3 Solve the following pairs of simultaneous equations.
𝑦 = 2 − 𝑥 and 𝑥2 − 𝑦2 = 8
(3, -1)
#7 Given 𝑓(𝑥) = 2𝑥2 − 3, 𝑥 ≥ 0
Find ff
8x4-24x2+15
The zeros of a polynomial are the ________________ of the equation or the x-intercepts of the graph.
roots/solutions
#23 Factor 3𝑥2 + 2𝑥 = 21
(3x-7)(x+3)
#4 Solve the following pairs of simultaneous equations.
4𝑥 + 3𝑦 = 25 and 𝑥2 + 𝑦2 = 25
(4, 3)
#8 Given ℎ(𝑥) = 𝑥+2/3
Find h-1(x)
3x-2
This formula can help us solve quadratics (it always works!).
Write the name of the formula, as well as the formula itself.
Quadratic Formula
#24 Factor 6𝑥2 − 2𝑥 = 0
2x(3x-1)
#9 Given 𝑓(𝑥) = 2𝑥2 − 3, 𝑥 ≥ 0
Find f-1(x)
square root of (x+3/2)