Benchmark Review (Category 3)

Category 3

Topics include domain/range, writing equations and systems, solving equations and systems.

Select YES to continue.

• YES

• NO

• 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 }

Remember, the DOMAIN is made up of all the X-values.

The RANGE is all the Y-values.

Sometimes, all you have to do is separate the X's from the Y's.

Select YES to continue.

• YES

• NO

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

This was an example of a CONTINUOUS domain. Simply identify the smallest X-value (left) and largest X-value (right) and everything in between.

Pay attention to open/closes circles, as that will help you with your symbols.

Select YES to continue.

• YES

• NO

Given the table, write the equation in the slope-intercept form.

• y = 1/3x + 6
• y = 3x + 6
• y = 2x + 6
• y = 1/2x + 6

• YES

• NO

Which system of two linear equations in two variables best represents the graph?

• y = 3x – 3

  y = -2x + 7

• y = 2x – 3

  y = -3x + 7

• y = 2x + 3

  y = -3x + 3.5

• y = 7x + 3.5

  y = x – 3

Remember that DESMOS can graph everything you need as long as it is written in y= form.

Select YES to continue.

• YES

• NO

• a = 5

• a = 0

• a = 6

• a = -4