MCR3U CHAPTER 1 REVIEW

A function...

• is a special type of relation
• passes the vertical line test
• can only have one y-value for each x-value
• all of the above statements are correct

The graph of the function x² + y² = 36 will look like...

• a parabola
• a straight line
• a circle
• a mess

Find the inverse of y = 2x - 1.

• f^-1(x) = (x+1)/2
• f^-1(x) = 2x+1
• f^-1(x) = x+3
• f^-1(x) = x+1

All relations are functions but not all functions are relations.

• True
• False

If a parent function has been reflected across the x-axis, then...

• a < 0
• k < 0
• d < 0
• c < 0

Given f(x) = x² - 3x + 2, evaluate f(-3).

• 2
• 6
• -5
• 20

Given f(x) = x² +6x - 9, find x if f(x) = -14.

• x = -1
• x = -5 or -1
• x = 103
• x = 3

Which of the following graphs is not a function?

• y = |x + 2|
• 5x = y + 3
• y² = 16 - x²
• y + 3 = x² - x

What is the domain of the graph y = (x - 2)² + 3?

• {x ∈ R}
• {x ∈ R | x ≥ 3}
• {x ∈ R | x ≥ 0}
• {x ∈ R | x ≥ 1}

What is the range of the graph y = -2(x + 1)² + 6?

• {y ∈ R}
• {y ∈ R | y ≤ 6}
• {y ∈ R | y ≤ -1}
• {y ∈ R | y ≥ -1}