unit 6 STAAR Reivew

What is the domain of the function for this situation?

Answer explanation

The correct domain for the function is 0 ≤ x ≤ 230, as the function's input variable is x and it must fall within this range to be valid.

Which of these best represents the domain of f?

• all real numbers

• all real numbers less than -3 or greater than 2

Answer explanation

The correct choice is 'all real numbers' because the function f has no restrictions on its domain, meaning it can take any real number as input.

Which graph best represents part of a quadratic function with a domain of all real numbers less than -4?

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Answer explanation

The range of the given function is y ≤ 4 because the maximum value of y is 4, which occurs when x = -1.

what is the range of h?

• all real numbers

• all real numbers greater that of equal to -7

• all real numbers greater that of equal to -8

• all real numbers greater that of equal to 0

Answer explanation

The range of h includes all real numbers greater than or equal to -8, as h can take on any value equal to or greater than -8.

which are the roots of the function?

• -9 and 1

• -8 and 0

• -4 and 2

• -2 and 4

Answer explanation

The roots of the function are -2 and 4, as these are the values that make the function equal to zero when substituted into it.

which statement appears to be true?

• the equation of the axis of symmetry of the graph of the function is x=1

• the function has 3 zeros

• the vertex of the graph of the function is (4,1)

• the maximum value of the function is 3

Answer explanation

The correct statement is that the equation of the axis of symmetry of the graph of the function is x=1.

which statements are best supported by the graph of k?

1. 1. the x- intercept is located at (-3,0)

2. 2. the coordinates of the y-intercept are (0,9)

3. 3. The axis of symmetry is x=-3

• 1 and 2 only

• 1, 2, and 3

• 1 and 3 only

• 2 and 3 only

Answer explanation

All three statements are supported by the graph of k: the x-intercept is at (-3,0), the y-intercept is at (9,0), and the axis of symmetry is x=-3.

what is the axis of symmetry of this graph?

• y =-5

• x =-5

• y =-3

• x =-3

Answer explanation

The correct axis of symmetry for the graph is x = -3. This is because the axis of symmetry for a parabola in the form y = ax^2 + bx + c is x = -b/2a.

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