Unit 4 Assessment

Last updated over 1 year ago

17 questions

1

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Unit 4 Assessment

Last updated over 1 year ago

17 questions

1

Question 1

1.

Select two functions that have a range of all real numbers.

1

Question 3

3.

Given the roots of a function are x=\frac{3}{5} (multiplicity 2) and x=3i, write the equation of the function in factored form.

1

Question 5

5.

The graph of a function g(x) is shown below.

Select the statement that is false.

g(x) has an odd degree

1

Question 6

6.

The graph of a function h(x) is shown below.

Select the statements that are true.

1

Question 7

7.

1

Question 8

8.

1

Question 9

9.

0.5

Question 1

1.

Select two functions that have a range of all real numbers.

1

Question 2

2.

Question 3

3.

Given the roots of a function are x=\frac{3}{5} (multiplicity 2) and x=3i, write the equation of the function in factored form.

1

Question 4

4.

Question 5

5.

The graph of a function g(x) is shown below.

Select the statement that is false.

g(x) has an odd degree

g(x) has 4 turning points

g(x) has no absolute extrema

x\rightarrow\infty,g(x)\rightarrow-\infty

g(x) has a positive leading coefficient

Question 6

6.

The graph of a function h(x) is shown below.

Select the statements that are true.

h(x) has one real root and two imaginary roots

x\rightarrow-\infty,h(x)\rightarrow-\infty

h(x) has an even degree

h(x) has a positive leading coefficient

h(x)has two real roots and one imaginary root

Question 7

7.

Solve 2x^{3}+5x^{2}+6x+15 by factoring.

x=-3i

x=\frac{5}{2}

x=\frac{2}{5}

x=-i\sqrt{3}

x=3

x=-\frac{2}{5}

x=i\sqrt{3}

x=-\frac{5}{2}

x=3i

x=-3

Question 8

8.

Select all factors of 3x^{3}-24 when it is completely factored.

(x+2)

2

(x^{2}-2x+4)

(x^{2}-2x-4)

(x^{2}+2x-4)

(x^{2}+2x+4)

(x-2)

3

8

Question 9

9.

Select all factors of 2x^{4}-10x^{2}-72 when it is completely factored.

4

(x^{2}-4)

(x-3)

(x^{2}+4)

(x-9)

2

(x^{2}-9)

(x+9)

(x^{2}+2)

(x+3)

(x+2)

(x-2)

12

0.5

Question 10

10.

0.5

Question 11

11.

0.5

Question 12

12.

0.5

Question 13

13.

0.5

Question 14

14.

0.5

Question 15

15.

0.5

Question 16

16.

0.5

Question 17

17.

Question 2

2.

Select the roots and multiplicities of the function shown in the graph.

x=0 multiplicity 1

x=2 multiplicity 2

x=3 multiplicity 1

x=0 multiplicity 2

x=-2 multiplicity 1

x=2 multiplicity 3

x=-3 multiplicity 2

x=3 multiplicity 3

x=2 multiplicity 1

x=3 multiplicity 2

x=0 multiplicity 3

Question 4

4.

Select the factors of the function shown in the graph.

(x+1)(x-5)^{2}

(x+1)(x+5)^{2}

(x+5)(x+1)^{2}

(x-5)(x-1)^{2}

(x-1)(x+5)^{2}

(x-1)(x-5)^{2}

(x+5)(x-1)^{2}

(x-5)(x+1)^{2}

g(x) has 4 turning points

g(x) has no absolute extrema

x\rightarrow\infty,g(x)\rightarrow-\infty

g(x) has a positive leading coefficient

h(x) has one real root and two imaginary roots

x\rightarrow-\infty,h(x)\rightarrow-\infty

h(x) has an even degree

h(x) has a positive leading coefficient

h(x)has two real roots and one imaginary root

Solve 2x^{3}+5x^{2}+6x+15 by factoring.

x=-3i

x=\frac{5}{2}

x=\frac{2}{5}

x=-i\sqrt{3}

x=3

x=-\frac{2}{5}

x=i\sqrt{3}

x=-\frac{5}{2}

x=3i

x=-3

Select all factors of 3x^{3}-24 when it is completely factored.

(x+2)

2

(x^{2}-2x+4)

(x^{2}-2x-4)

(x^{2}+2x-4)

(x^{2}+2x+4)

(x-2)

3

8

Select all factors of 2x^{4}-10x^{2}-72 when it is completely factored.

4

(x^{2}-4)

(x-3)

(x^{2}+4)

(x-9)

2

(x^{2}-9)

(x+9)

(x^{2}+2)

(x+3)

(x+2)

(x-2)

12

Question 10

10.

Decreasing interval(s)

Question 11

11.

Increasing interval(s)

Question 12

12.

x-intercept(s)

(0, 0)

(-4, 0)

(0, -3)

(0, -4)

(5, 0)

(2, 0)

(0, 5)

Question 13

13.

y-intercept(s)

(5, 0)

(0, 0)

(2, 0)

(0, -3)

(-4, 0)

(0, -4)

(0, 5)

Question 14

14.

Absolute maximum(s)

None

(0, -3)

(-2.5, -10)

(-4, 0)

(5, 0)

(2, 0)

(4, -2)

Question 15

15.

Relative maximum(s)

(2, 0)

(0, -3)

(-4, 0)

(4, -2)

(-2.5, -10)

(5, 0)

None

Question 16

16.

Absolute minimum(s)

(5, 0)

(4, -2)

(-2.5, -10)

(-4, 0)

None

(2, 0)

(0, -3)

Question 17

17.

Relative minimum(s)

(-4, 0)

(4, -2)

(0, -3)

(5, 0)

(-2.5, -10)

None

(2, 0)

Select the roots and multiplicities of the function shown in the graph.

x=0 multiplicity 1

x=2 multiplicity 2

x=3 multiplicity 1

x=0 multiplicity 2

x=-2 multiplicity 1

x=2 multiplicity 3

x=-3 multiplicity 2

x=3 multiplicity 3

x=2 multiplicity 1

x=3 multiplicity 2

x=0 multiplicity 3

Select the factors of the function shown in the graph.

(x+1)(x-5)^{2}

(x+1)(x+5)^{2}

(x+5)(x+1)^{2}

(x-5)(x-1)^{2}

(x-1)(x+5)^{2}

(x-1)(x-5)^{2}

(x+5)(x-1)^{2}

(x-5)(x+1)^{2}

Decreasing interval(s)

Increasing interval(s)

x-intercept(s)

(0, 0)

(-4, 0)

(0, -3)

(0, -4)

(5, 0)

(2, 0)

(0, 5)

y-intercept(s)

(5, 0)

(0, 0)

(2, 0)

(0, -3)

(-4, 0)

(0, -4)

(0, 5)

Absolute maximum(s)

None

(0, -3)

(-2.5, -10)

(-4, 0)

(5, 0)

(2, 0)

(4, -2)

Relative maximum(s)

(2, 0)

(0, -3)

(-4, 0)

(4, -2)

(-2.5, -10)

(5, 0)

None

Absolute minimum(s)

(5, 0)

(4, -2)

(-2.5, -10)

(-4, 0)

None

(2, 0)

(0, -3)

Relative minimum(s)

(-4, 0)

(4, -2)

(0, -3)

(5, 0)

(-2.5, -10)

None

(2, 0)

Unit 4 Assessment

Unit 4 Assessment

Select two functions that have a range of all real numbers.

Given the roots of a function are x=\frac{3}{5} (multiplicity 2) and x=3i, write the equation of the function in factored form.

The graph of a function g(x) is shown below.Select the statement that is false.

The graph of a function h(x) is shown below.Select the statements that are true.

Select two functions that have a range of all real numbers.

Given the roots of a function are x=\frac{3}{5} (multiplicity 2) and x=3i, write the equation of the function in factored form.

The graph of a function g(x) is shown below.Select the statement that is false.

The graph of a function h(x) is shown below.Select the statements that are true.

Solve 2x^{3}+5x^{2}+6x+15 by factoring.

Select all factors of 3x^{3}-24 when it is completely factored.

Select all factors of 2x^{4}-10x^{2}-72 when it is completely factored.

Select the roots and multiplicities of the function shown in the graph.

Select the factors of the function shown in the graph.

Decreasing interval(s)

Increasing interval(s)

x-intercept(s)

y-intercept(s)

Absolute maximum(s)

Relative maximum(s)

Absolute minimum(s)

Relative minimum(s)

The graph of a function g(x) is shown below.

Select the statement that is false.

The graph of a function h(x) is shown below.

Select the statements that are true.

The graph of a function g(x) is shown below.

Select the statement that is false.

The graph of a function h(x) is shown below.

Select the statements that are true.