Algebra 2 - 2.1 to 2.3 Review

This is review for your quiz tomorrow. Read questions carefully and read answer explanations if you miss something. Get help from a classmate or go back to the lesson if needed. You must reach at least 80% correctness to receive credit.

• Got it

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Organize these options into the right categories

Groups:

(a) Linear function

,

(b) Non-linear function

• f(x) = 2x

• 
• 
• y + 3x = 6

Answer explanation

Linear functions must have variables to the first power and make straight lines when graphed.

Evaluate f(-2) if f(x) = x²+ 3

(a)  

Answer explanation

Replace the variable with -2 and simplify the right side.

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, give the domain and range.

• D: {1, -3, -4,}

  R: {0, 1, 2, -4}

• D:{0, 1, 2, -4}

  R:{1, -3, -4}

• D:{0, 1, 2, 3, 4}

  R:{1, -3, -4}

• D: [-4, 1]

  R: [-4, 1]

Answer explanation

Remember that domain is the input (x-values) and range is the output (y-values). Use { } since we have individual values with gaps.

Is the function f(x) = x² + 1/2 a linear function?

• Yes, because it has f(x) notation

• No, because the variable is raised to the second power

• No, because it has a fraction

• Yes, because it passes the vertical line test

Is the relation pictured a function?

• Yes

• No

Answer explanation

Yes, it passes the vertical line test

Consider the function:

{(0, 3), (3, 5), (5, 6), (7, 7)}

Adding which ordered pair to this set would result in it no longer being a function?

• (2, 3)

• (5, 8)

• (1, 1)

• (2, 7)

Answer explanation

There is a point with an x-value of 5, so adding another one would mean two inputs that are the same with different outputs -- not a function.

Which is the graph of y= 2 - x ?

(tap the picture to make bigger)

• A

• B

• C

• D

Answer explanation

The slope (next to the x) is -1 and the y-intercept is 2. It should start at 2 on the y-axis and go down 1, right 1 to get to the next point.

Write an equation of the line in slope-intercept form that has a slope of 2 and goes through (3,4).

y = (a)  

Answer explanation

Start with

y = 2x + b

plug in (3, 4) for x and y

4 = 2(3) + b

-2 = b

Put it together.

A line is perpendicular to

-2x + y = - 7.

What is the slope of the perpendicular line?

• -2

• 1/2

• -1/2

• 2

Answer explanation

If you solve for y,

y = 2x - 7

so the slope is 2.

The perpendicular line would have a slope that is the opposite sign & reciprocal.