Week 7

Last updated 30 days ago

8 questions

Required

Library

Week 7

Last updated 30 days ago

8 questions

Required

Question 1

A factor of x^{3}-x^{2}-3x+3 is x-1. The other first-degree factors of this polynomial are___

(x-3) and (x+3)

(x-3) and (x-3)

(x-1.7) and (x+1.7)

(x-\sqrt{3}) and (x+\sqrt{3})

Required

Question 2

Using the function f(x)=\frac{x^{2}+4}{x-2}, determine the value of f(f(4)).

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10

12

13

Required

Question 3

The graph of the function below can be expressed in the form y=\frac{ax}{x^{2}+bx+c}

The value of a×b×c is ___.

Required

Question 4

The partial graph of the function y=f(x) is shown below. The range of function f is f(x) ≥ -11.
If function f is transformed to a new function g(x)=f(x-3)+2, then the range of function g will be

g(x) ≥ -8

g(x) ≥ 0

g(x) ≥ -11

g(x) ≥ -9

Question 5

The graphs of four polynomial functions are shown below. 
Match three of the graphs numbered above with a statement below that best describes the function. 
-  The graph that has a positive leading coefficient is graph number __________
-  The graph of a function that has two different zeros, each with multiplicity 2, is graph number __________
-  The graph that could be a degree 4 function is graph number __________

Required

Question 6

Given the functions f(x)=7-x and g(x)=2x+1, the range of k(x)=f(x)g(x) is

[x|x∈R]

[y|y∈R]

[y|y≤28.125]

[y|y≥28.125]

Required

Question 7

An equation for g(x) in terms of f(x) is

g(x)=\frac{1}{2}f(3x)

g(x)=2f(3x)

g(x)=\frac{1}{2}f(\frac{1}{3}x)

g(x)=2f(\frac{1}{3}x)

Required

Question 8

The graph of y=p(x) above could represent

a third-degree polynomial with three real roots of multiplicity 1

a fourth-degree polynomial with one real root of multiplicity 2

a fifth-degree polynomial with one real root of multiplicity 3 and with a positive leading coefficient

a fifth-degree polynomial with one real root of multiplicity 3 and with a negative leading coefficient

Question 1

A factor of x^{3}-x^{2}-3x+3 is x-1. The other first-degree factors of this polynomial are___

(x-3) and (x+3)

(x-3) and (x-3)

(x-1.7) and (x+1.7)

(x-\sqrt{3}) and (x+\sqrt{3})

Question 2

Using the function f(x)=\frac{x^{2}+4}{x-2}, determine the value of f(f(4)).

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10

12

13

Question 3

The graph of the function below can be expressed in the form y=\frac{ax}{x^{2}+bx+c}

The value of a×b×c is ___.

Question 4

The partial graph of the function y=f(x) is shown below. The range of function f is f(x) ≥ -11.
If function f is transformed to a new function g(x)=f(x-3)+2, then the range of function g will be

g(x) ≥ -8

g(x) ≥ 0

g(x) ≥ -11

g(x) ≥ -9

Question 5

The graphs of four polynomial functions are shown below. 
Match three of the graphs numbered above with a statement below that best describes the function. 
-  The graph that has a positive leading coefficient is graph number __________
-  The graph of a function that has two different zeros, each with multiplicity 2, is graph number __________
-  The graph that could be a degree 4 function is graph number __________

Question 6

Given the functions f(x)=7-x and g(x)=2x+1, the range of k(x)=f(x)g(x) is

[x|x∈R]

[y|y∈R]

[y|y≤28.125]

[y|y≥28.125]

Question 7

An equation for g(x) in terms of f(x) is

g(x)=\frac{1}{2}f(3x)

g(x)=2f(3x)

g(x)=\frac{1}{2}f(\frac{1}{3}x)

g(x)=2f(\frac{1}{3}x)

Question 8

The graph of y=p(x) above could represent

a third-degree polynomial with three real roots of multiplicity 1

a fourth-degree polynomial with one real root of multiplicity 2

a fifth-degree polynomial with one real root of multiplicity 3 and with a positive leading coefficient

a fifth-degree polynomial with one real root of multiplicity 3 and with a negative leading coefficient

Week 7

Week 7

A factor of x^{3}-x^{2}-3x+3 is x-1. The other first-degree factors of this polynomial are___

Using the function f(x)=\frac{x^{2}+4}{x-2}, determine the value of f(f(4)).

The graph of the function below can be expressed in the form y=\frac{ax}{x^{2}+bx+c}The value of a×b×c is ___.

The partial graph of the function y=f(x) is shown below. The range of function f is f(x) ≥ -11.If function f is transformed to a new function g(x)=f(x-3)+2, then the range of function g will be

Given the functions f(x)=7-x and g(x)=2x+1, the range of k(x)=f(x)g(x) is

An equation for g(x) in terms of f(x) is

The graph of y=p(x) above could represent

A factor of x^{3}-x^{2}-3x+3 is x-1. The other first-degree factors of this polynomial are___

Using the function f(x)=\frac{x^{2}+4}{x-2}, determine the value of f(f(4)).

The graph of the function below can be expressed in the form y=\frac{ax}{x^{2}+bx+c}The value of a×b×c is ___.

The partial graph of the function y=f(x) is shown below. The range of function f is f(x) ≥ -11.If function f is transformed to a new function g(x)=f(x-3)+2, then the range of function g will be

Given the functions f(x)=7-x and g(x)=2x+1, the range of k(x)=f(x)g(x) is

An equation for g(x) in terms of f(x) is

The graph of y=p(x) above could represent

The graph of the function below can be expressed in the form y=\frac{ax}{x^{2}+bx+c}

The value of a×b×c is ___.

The partial graph of the function y=f(x) is shown below. The range of function f is f(x) ≥ -11.
If function f is transformed to a new function g(x)=f(x-3)+2, then the range of function g will be

The graph of the function below can be expressed in the form y=\frac{ax}{x^{2}+bx+c}

The value of a×b×c is ___.

The partial graph of the function y=f(x) is shown below. The range of function f is f(x) ≥ -11.
If function f is transformed to a new function g(x)=f(x-3)+2, then the range of function g will be