8. a) Use the data in these tables of values to draw two scatter plots on the same pair
of axes. Use a different colour for each
scatter plot.
i)
Term Term
number value
1
1
2
4
3
9
4
16
Term
number
Term
value
1
1
4
2
8
3
12
16
4
b) Write each pattern rule as an algebraic
expression
c) Explain the similarities and differences
between the two relationships.

f(g(3)) = -7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

FunctionsFunction Notation

Step-by-step explanation:

Step 1: Define

Identify

f(x) = -2x + 7

g(x) = x² - 2

Step 2: Find f(g(3))

Substitute in x [Function g(x)]:                                                                         g(3) = 3² - 2Evaluate exponents:                                                                                         g(3) = 9 - 2Subtract:                                                                                                              g(3) = 7Substitute in g(3) [Function f(x)]:                                                                      f(g(3)) = -2(7) + 7Multiply:                                                                                                             f(g(3)) = -14 + 7Add:                                                                                                                   f(g(3)) = -7