MoGEA Test Functions, Patterns, and Algebraic Relationships 3

Question 1

For the piecewise function f(x) = {x + 2 if x < 0; x² if x ≥ 0}, what is f(-3)?

Accepted Answer

-1

Answer

1

Answer

9

Answer

-9

Question 2

How does the graph of f(x) = (x - 3)² + 2 compare to the graph of f(x) = x²?

Accepted Answer

Shifted 3 units right and 2 units up

Answer

Shifted 3 units left and 2 units up

Answer

Shifted 3 units right and 2 units down

Answer

Shifted 3 units left and 2 units down

Question 3

If y varies directly with x, and y = 12 when x = 4, what is the constant of variation?

Accepted Answer

3

Answer

2

Answer

4

Answer

8

Question 4

If y varies inversely with x, and y = 6 when x = 4, what is y when x = 8?

Accepted Answer

3

Answer

2

Answer

12

Answer

48

Question 5

A sequence is defined recursively as a₁ = 5 and aₙ = aₙ₋₁ + 4. What is a₄?

Accepted Answer

17

Answer

13

Answer

16

Answer

20

Question 6

Which of the following is NOT a function?

Accepted Answer

A circle centered at the origin with radius 5

Answer

A mapping where each input has exactly one output

Answer

A graph that passes the vertical line test

Answer

A table where no x-value appears more than once

Question 7

Two linear functions are f(x) = 2x + 1 and g(x) = -x + 7. At what x-value do they intersect?

Accepted Answer

x = 2

Answer

x = 1

Answer

x = 3

Answer

x = 4