Alg2 - Functions Assessment

Which type of function could be used to model the data shown in the accompanying graph?

• quadratic

• exponential

• trigonometric

• linear

What is the domain of the function shown below?

• −1 ≤ x ≤ 6

• −1 ≤ y ≤ 6

• −2 ≤ x ≤ 5

• −2 ≤ y ≤ 5

What is the range of the function in the accompanying graph?

• x ≤ 0

• x ≥ 0

• y ≤ 0

• y ≥ 0

If f(x) = 1/2 x − 3 and g(x) = 2x + 5, what is the value of

 $\left(g\ \degree\ f\right)\left(4\right)$  ?

• -13

• 3.5

• 3

• 6

A function is defined by the equation y = 5x - 5. Which equation defines the inverse of this function?

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Which graph has an inverse that is a function?

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The minimum point on the graph of the equation y = f(x) is (−1,−3). What is the minimum point on the graph of the equation y = f(x) + 5?

• (−1,2)

• (−1,−8)

• (4,−3)

• (−6,−3)

If f(x) = 2x^2 + 1 and g(x) = 3x − 2, what is the value of f(g( − 2))?

Richard is asked to transform the graph of b(x) shown in the accompanying graph.

The graph of b(x) is transformed using the equation h(x) = b(x − 2) − 3. Describe how the graph of b(x) changed to form the graph of h(x).

Determine if function h(x) is even, odd, or neither. Explain your answer.