Characteristics of Linear Functions Review

How would you describe this graph?

• linear, discrete

• linear, continuous

• exponential, discrete

• exponential, continuous

Answer explanation

It is linear because the graph is a straight line. It is continuous because it is not made of dots.

How are arithmetic sequences similar to linear functions? Mark all that apply.

• Their graphs are both straight lines.

• They both have a constant rate of change.

• Their pattern is adding the same thing every time.

• Their slopes can be fractions.

What is the slope of the line that passes through (2, 15) and (-2, -1) ?

• undefined

• 4

• y = 4x + 7

• 4x

Answer explanation

Remember to subtract the y's and put them on the TOP of the fraction. Subtract the x's and put them on the bottom. Always subtract but watch out for subtracting a negative, which will make it a positive.

Also there is no x in slope. The slope is not an equation, it is a number.

What is the equation of the line that passes through (2, 15) and (-2, -1) ?

• y - 15 = 4(x - 2)

• y = -1 + 4(x - 2)

• y = -4x + 7

• y = 2 + 4(x - 15)

Answer explanation

There are lots of different ways to answer this question. Hopefully you can see how my answer fits in with what you came up with. I put several common mistakes as the wrong answers, so if you chose one of those, make sure you figure out what you did wrong so you don't keep making that mistake.

Where is the function positive?

• (6, ∞)

• (-∞, 6)

• (0, ∞)

• (-∞, 0)

Describe the following graph.

• Increasing

• Decreasing

• Vertical

• Horizontal

Determine the range

• All real numbers

• (-∞, 2]

• [-6, 2]

Where is the graph increasing?

• Always

• Never

What is the end behavior?

• As x increases, y increases
  As x decreases, y decreases

• As x increases, y decreases
  As x decreases, y increases

What is the y-intercept?

• (0,7)

• (0, 0)

• (0,1)

• (0, 2)