Algebra Concept Review

Identify the Domain and Range for the function

{(4, 1), (2, 3), (0, 4), (5, 3)}

• Domain: {0, 2, 4, 5}

  Range: {1, 3, 4}

• Domain: {2, 0, 4, 5}

  Range: {1, 3, 4}

• Domain: {0, 2, 4, 5}

  Range: {4, 3, 1}

• Domain: {0, 2, 4, 5}

  Range: {3, 1, 4}

Function: A person drinks n ounces of a 20-ounce sports drink.

Would a reasonable domain for this function include all real numbers?

• Yes because you can drink a fraction of an ounce

• No because you can not drink negative ounces of sports drink

• Yes because you could drink 0 ounces of sports drink

• What is sports drink?

What constraints, if any, would need to be placed on the domain of the given function?

Function: An airplane ascends to a cruising altitude at the rate of 1,000ft/min for m minutes

• The domain should be greater than 0 and however high the typical plane flies

• No constraints are reasonable

• The domain should be greater than 1 because if it was 0 the plane would crash

• I hate all of this

Evaluate the function for the elements in the domain {-4, -2, 0, 2, 4}

Functions: f(x) = 2x - 1

• {-9, -5, -1, 3, 7}

• {-10, -6, -2, 2, 6}

• {-11, -6, -0, 3, 7}

• {-10, -5, -1, 3, 7}

g(x) is a translation of f(x) in by how many and in what direction?

f(x) = 2x

g(x) = (2x) - 2

• Shifts up 2 units

• Shifts down 2 units

• Shifts left 2 units

• Shifts right 2 units

g(x) is a translation of f(x) in by how many and in what direction?

f(x) = x

g(x) = x + 2

• Shifts up 5 units

• Shifts down 5 units

• Shifts left 5 units

• Shifts right 5 units

g(x) is a translation of f(x) in by how many and in what direction?

f(x) = 4x - 5

g(x) = 4(x - 3) - 5

• Up 3 units

• Down 3 units

• Left 3 units

• Right 3 units

Describe how the graph of g compares to the graph of f

f(x) = 3x + 5

g(x) (3x + 5) + 8

• Left 8

• Right 8

• Down 8

• Up 8

Is this a function?

• Yes

• No

What kind of association does this have?

• Strong positive association

• Strong Negative association

• Weak Positive association

• Weak Negative association