Algebra 2
Name ______________________________
Unit 10 Review: Function Operations & Inverses
For the following, use the function f(x) = 8x
1. Write an equation that represents the graph
of f(x) translated right 6 units and down 2
units.
3. Which equation is graphed?
Class Period _______________
2. Write an equation that represents the graph
of f(x) reflected across the x-axis,
compressed by a factor of 1/2 and shifted up
7 units.
A) y = 2x – ¾ B) y = 4x – 1 C) Y = 2X-2
State the domain and range of the given graph above?
Complete the chart below by rewriting each of the following in the other form.
4.
Exponential Form
Logarithmic Form
1. Log8 512 = 3
2. Log216 36 = 2/3
3. 25 = 32
4. 1441/2 = 12
5. Describe the transformations that have occurred: f ( x)  2 log( x)  5
6. Write an equation that represents the graph of f ( x)  log 3 ( x  4)  2 translated right 5 units and
down 3 units
7. Graph y >2 𝑙𝑜𝑔5 (𝑥 − 4) + 1?
Simplify the following. Write expression with positive exponents.
8.
x12  x 7
9.
−3𝑥 2 𝑦 −3 𝑧
−𝑥 −2 𝑦
10. (6m4 n)0(2m2n3)
11. x-6y3
12. x-2/3
13.
(x3y2z-4)(xy5z7)