19.b Functions, Symbolism

Question 1

Solve:

Answer 1

Question 2

Solve:

Answer 2

Question 3

Solve:

Answer 3

Question 4

Solve:

Answer 4

Question 5

How would you solve symbolism questions that involve two or more variables or symbols?

Answer 5

Replace each instance of each variable with the given value(s) and then simplify the resulting expression or solve the resulting equation

Question 6

How would you solve this?

Answer 6

Question 7

What do you call step-by-step instructions?

Answer 7

Algorithms

Question 8

What are the two techniques used to find the net effect of an algorithm?

Answer 8

1. Follow the algorithm step by step (using variable)
2. Test a value for the variable and find a matching outcome in the answer choice

Question 9

Solve this using the variable step-by-step approach:

Answer 9

Question 10

How would you check whether a function property is true for all input values?

Answer 10

Plug in values for the given variables and see if the property holds true

Question 11

How would you solve this?

Answer 11

Use replacement values for m and n and solve

Question 12

“g(x) is the largest prime number less than or equal to x”

solve for x = 8

Answer 12

large prime number less than or equal to (8) is:

7

Question 13

“h(x) is the sum of the total prime factors of x”

solve for x = 12

Answer 13

12 = 2 x 2 x 3

so..
2 + 2 + 3 = 7

h(12) = 7