NSAA NSAA Mathematics - Algebra and Functions 2

Question 1

What is the range of the function f(x) = x² + 1 for all real x?

Accepted Answer

f(x) ≥ 1

Answer

All real numbers

Answer

x ≥ 0

Answer

f(x) > 0

Question 2

Simplify: (3x²y)(2xy³)

Accepted Answer

6x³y⁴

Answer

5x³y⁴

Answer

6x²y³

Answer

5x²y⁴

Question 3

The graph of y = (x-2)² + 3 has its vertex at:

Accepted Answer

(2, 3)

Answer

(-2, 3)

Answer

(2, -3)

Answer

(-2, -3)

Question 4

If log₂(x) = 5, what is x?

Accepted Answer

32

Answer

10

Answer

16

Answer

25

Question 5

Expand and simplify: (x + 3)(x - 5)

Accepted Answer

x² - 2x - 15

Answer

x² + 2x - 15

Answer

x² - 8x + 15

Answer

x² + 8x - 15

Question 6

What is the sum of the roots of 3x² - 6x + 2 = 0?

Accepted Answer

2

Answer

−2

Answer

2/3

Answer

6