Question 766398
Question 730086
1.
Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point.

{{{f(x) = x^2 + 2x - 9}}}
Coefficient of the x^2 term is +, --> a minimum

The vertex is on the LOS, Line of Symmetry, which is
{{{x = -b/2a}}}
{{{x = -2/2}}}
{{{x = -1}}}

plug it in {{{f(x) = x^2 + 2x - 9}}} and find {{{f(-1)}}}

{{{f(x) = (-1)^2 + 2(-1) - 9}}}
{{{f(x) = 1 -2 - 9}}}
{{{f(x) = -10}}}

Vertex is at ({{{-1}}},{{{-10}}})

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A) minimum; (-10,-1)
B) maximum; (-1,-10) 
C) maximum; (-10,-1)
D) {{{minimum}}}; (-1,-10)

2.
Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point. 
{{{f(x) = -x^2 - 2x - 6}}}

{{{x = -b/2a}}}
{{{x = -(-2)/2(-1)}}}
{{{x = 2/-2}}}
{{{x = -1}}}

plug it in {{{f(x) = -x^2 - 2x - 6}}} and find {{{f(-1)}}}

{{{f(x) = (-1)^2 + 2(-1) - 6}}}
{{{f(x) = 1 -2 - 6}}}
{{{f(x) = -5}}}

Vertex is at ({{{-1}}},{{{-5}}}) and it is a maximum

A) minimum; (-5,-1)
B) minimum; (-1,-5)
C) {{{maximum}}}; (-1,-5)
D) maximum; (-5,-1)

3.
Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point. 
{{{f(x) = -3x^2 + 6x}}}

{{{x = -b/2a}}}
{{{x = -6/2(-3)}}}
{{{x = -6/-6}}}
{{{x = 1}}}

plug it in {{{f(x) = -3x^2 + 6x}}} and find {{{f(1)}}}

{{{f(x) = -3(1)^2 +6(1) }}}
{{{f(x) = -3 + 6}}}
{{{f(x) = 3}}}

Vertex is at ({{{1}}},{{{3}}}) and it is a maximum

A) maximum; (-1,-3)
B) minimum; (1,3)
C) minimum; (-1,-3)
D) {{{maximum}}}; (1,3)
2 & 3 same as #1
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4.
Find the degree of the polynomial function. 
{{{f(x) = -2x + 7x^2}}}
A) 2
B) 7
C) -2
D) 1
5.

answer: A) {{{2}}

Find the degree of the polynomial function. {{{f(x) = (3-x^4)/3}}}
______

A) 3
B) 0
C) - 
D) 4
answer: D) {{{4}}


6.
Find the degree of the polynomial function. 
{{{f(x) =pi*x^5 - 6x^4 - 9}}}
A) 1
B) 5
C) π
D) 4

answer: B) {{{5}}}

7.
Find the degree of the polynomial function. 
{{{f(x) = 5x - x^6 }}}
A) 5
B) 6
C) 1
D) -1
answer: B) {{{6}}}


8.
Find the degree of the polynomial function. 
{{{g(x) = -7x^3 + 9}}}
A) 0
B) -7
C) 3
D) 4
answer: C) {{{3}}}


9.
Find the degree of the polynomial function. 
{{{h(x) = -19x + 4}}}
A) 1
B) 0
C) -19
D) 2
answer: A) {{{1}}}


10.
Find the degree of the polynomial function. 
{{{17x^3 + 3x^2 - 2x - 2y^4 - 1}}}
A) 17
B) 10
C) 3
D) 4

answer: D) {{{4}}}

11.
Find the degree of the polynomial function. 
{{{f(x) = -14x^3 + 9x^2 - 2}}}
A) 6
B) 9
C) 3
D) -14
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Degree is the highest exponent of the variable.
answer: C) {{{3}}}