Answers NJ-Algebra I CRUnit Test

Unit Test — Cumulative exam Answers

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Which statements about the function are true? Select three options.

The vertex of the function is at (–4,–15).

The vertex of the function is at (–3,–16).

The graph is increasing on the interval x > –3.

The graph is positive only on the intervals where x 1.

The graph is negative on the interval x < –4.

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What is the difference of the two polynomials?(7y2 + 6xy) – (–2xy + 3)

7y2 + 4xy – 3

7y2 + 8xy – 3

7y2 + 4xy + 3

7y2 + 8xy + 3

Which is the graph of ?

Option

The graph of the function f(x) = −3x2 − 3x + 6 is shown. Which statements describe the graph? Select three options.The vertex is the maximum value.The axis of symmetry is x = .The domain is all real numbers. The range is all real numbers.The function is decreasing from (−∞, 6.75).

The vertex is the maximum value.

The axis of symmetry is x = .

The domain is all real numbers.

The range is all real numbers.

The function is decreasing from (−∞, 6.75).

Which function represents exponential decay?

f(x) =

f(x) =

f(x) = 4

f(x) = 4

Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = x2 – 10x +2?

right 5, down 23

left 5, down 23

right 5, up 27

left 5, up 27

The first few steps in solving the quadratic equation 5x2 + 27x = 14 − 13x by completing the square are shown.5x2 + 27x = 14 − 13x5x2 + 40x = 145(x2 + 8x) = 14

5(x2 + 8x + 16) = 30

5(x2 + 8x + 16) = 94

5(x2 + 8x + 4) = 18

5(x2 + 8x + 4) = 34

The graph of an exponential function and a linear function are shown below. Exponential Linear Which statement is true about the functions?

The exponential function is generally growing slower than the linear function.

The exponential function is generally growing faster than the linear function.

The linear function is generally growing faster than the exponential function.

The exponential function and the linear function are generally growing at the same rate.

The graph shows the exponential regression model for data representing a rabbit population after x years.

The graph of the regression model is limited to whole-number values for x.

The graph of the regression model is limited to whole-number values for y.

The graph of the regression model cannot be used to approximate the population size for year 1.

The graph of the regression model can be used to predict the population size for any number of years in the future.

Which is the graph of the sequence defined by the function f(x) = 100(0.5)x - 1?

Option

A line of best fit is drawn for the set of points shown on the graph.

(23, 30)

(30, 38)

(44, 30)

(30, 72)

The end of a hose was resting on the ground, pointing up an angle. Sal measured the path of the water coming out of the hose and found that it could be modeled using the equation f(x) = –0.3x2 + 2x, where f(x) is the height of the path of the water above the ground, in feet, and x is the horizontal distance of the path of the water from the end of the hose, in feet.

3.2 feet

4.8 feet

5.6 feet

6.8 feet

Garth is packing boxes with books. The list shows how many books are in each of 10 boxes.6, 14, 6, 18, 9, 9, 12, 10, 11, 15 Which statement is true about the number of books packed to a box?

The median number of books to a box is 8.

The median number of books to a box is 9.

The mean number of books to a box is 11.

The mean number of books to a box is 12.

What is the y-value of the vertex of the function f(x)=−(x+8)(x−14)?

112

121

The function g(x) is a translation of f(x) = (x + 3)2 – 10. The axis of symmetry of g(x) is 5 units to the right of f(x) . Which function could be g(x)?

g(x) = (x – 2)2 + k

g(x) = (x + 8)2 + k

g(x) = (x – h)2 – 5

g(x) = (x – h)2 – 15

Which is the graph of the sequence defined by the function f(x + 1) = f(x) when the first term in the sequence is 375?