Cumulative Assessment Review 1st 9 weeks

Where is the vertex located in the graph above?

• (0,15)

• (3,0)

• (4,-1)

• (5,0)

Answer explanation

The vertex of a parabola is the point where it changes direction. In the given graph, the vertex is located at (4,-1), which is the lowest point of the parabola, confirming it as the correct answer.

What is the minimum value of the function graphed above?

(a)  

Answer explanation

The minimum value of the function is 0, as it is the lowest point on the graph. The value -2 is incorrect because it does not represent any point on the graph.

Classify the following graph.

• Exponential Growth

• Exponential Decay

• Logarithmic

Answer explanation

The graph shows a rapid increase over time, characteristic of exponential growth. This indicates that as the input increases, the output grows at an accelerating rate, confirming the classification as Exponential Growth.

Classify the following graph.

• Exponential Growth

• Exponential Decay

• Logarithmic

Answer explanation

The graph represents Exponential Decay as it shows a decrease over time, indicating that the quantity is reducing at a rate proportional to its current value, which is characteristic of decay processes.

A line that the graph continually approaches but never touches is a(n) _____________________

• parabola

• asymptote

• rational function

• None of these

Answer explanation

An asymptote is a line that a graph approaches but never touches. It represents a boundary that the function gets infinitely close to, making 'asymptote' the correct choice over the other options.

• F

• G

• H

• J

• -4 ≤ x < 2
• 0 ≤ y < 3
• -4 < x ≤ 2
• 0 ≤ y < 3

• { y | -4 ≤ y < 3 }
• { x | -3 ≤ x < 1 }
• { y | -4 < y ≤ 3 }
• { x | -3 < x ≤ 1 }

• Domain: x ≥ -2
  Range: y ≥ -4
• Domain: { 3, -1, 2, 1 }
  Range: { -4, 4, 6, 0 }
• Domain: { -2, -1, 1, 3 }
  Range: { -4, 0, 4, 6 }
• Domain: all real numbers
  Range: All real numbers

• Domain: {-2}
  Range: all real numbers
• Domain: { -6, 3, 4, 5 }
  Range: {-2}
• Domain: x
  ≥ -6
  Range: y = -2
• Domain: {-2}
  Range: { -6, 3, 4, 5 }