Grade 10, Chapter (4) - Functions

Each of the arrow diagram shown above describes a relation from a set P to Q. Which of this relation is not a function?

• (a)

• (b)

• (c)

f: R → R, f(x) = ax + 4, f^-1(10) = 3, then x =

• 2

• 4

• 3

• 5

Given that f(x) = px + 3 and g(x) = qx - 4. If (g . f)(x) = 10x + 11, then q =

• 2

• 5

• 4

• 6

If A ⸦ B, determine whether the statement x ∈ A => x ∈ B is true or false.

• True

• Fale

If A ⸦ B, determine whether the statement x ∉ A => x ∉ B is true or false.

• True

• False

If A ⸦ B, determine whether the statement x ∈ B => x ∈ A is true or false.

• True

• False

If A ⸦ B, determine whether the statement x ∉ B => x ∉ A is true or false.

• True

• False

Let f be a function from R → R. Determine whether the following statement is true or false.

If f(x) = 4 – x, the image of – 3 under f is 7.

• True

• False

Let f be a function from R → R. Determine whether the following statement is true or false.

If f(x) = x² + 3, the image of – 3 under f is zero.

• True

• False

Let f be a function from R → R. Determine whether the following statement is true or false.

If f(x) = 3x + 6, then f(a) = a implies that a = – 3.

• True

• False