Questions on Algebra: Functions, Domain, NOT graphing answered by real tutors!

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Question 1060948: Determine algebraically whether the function is even, odd, or neither.
f(x) = -5x^2 + 4

a. even
b. odd
c. neither

Click here to see answer by josgarithmetic(39618)

Question 1060947: The function f is one-to-one. Find its inverse. f(x) = root (3,x+4)
a. f ^-1(x) = x^3 + 16
b. f ^-1(x) = x - 4
c. f ^-1(x) = 1 / x^3-4
d. f ^-1(x) = x^3 - 4

Click here to see answer by josgarithmetic(39618)

Question 1060944: Solve for pH: pH = -log10[H+] Find the pH if the [H+] = 9.6 x 10^-6.
a. 6.02
b. 5.02
c. 6.98
d. 5.98
Click here to see answer by josgarithmetic(39618)

Question 1060946: The logistic growth function f(t) = ((( 400 / 1+9.0e-0.22t ))) describes the population of a species of butterflies tmonths after they are introduced to a non-threatening habitat. How many butterflies are expected in the habitat after 12 months?
a. 480 butterflies
b. 401 butterflies
c. 244 butterflies
d. 4800 butterflies
Click here to see answer by KMST(5328)

Question 1060945: Find the present value. Round to the nearest cent. To get $10,000 after 2 years at 18% compounded monthly
a. $5000.00
b. $6995.44
c. $8363.87
d. $11,956.18

Click here to see answer by Boreal(15235)

Question 1061010: Given the function f(x) = -2x^2 + 4x + 3, list the y-intercept, if there is one, of the graph of f.
a. -1
b. 3
c. -3
d. 5
Click here to see answer by josgarithmetic(39618)

Question 1061021: Find the domain of the function.
g(x) = x / x^2+2
a. {x|x ≠ 0}
b. {x|x > 64}
c. {x|x ≠ -8, 8}
d. all real numbers

Click here to see answer by jim_thompson5910(35256)

Question 1061020: Find the average rate of change for the function between the given values.
f(x)= 3/x-2 ; from 4 to 7
Click here to see answer by jim_thompson5910(35256)

Question 1061026: Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then find that value.
f(x) = -x^2 - 2x + 2
a. minimum; - 1
b. maximum; 3
c. minimum; 3
d. maximum; - 1

Click here to see answer by josgarithmetic(39618)

Question 1061025: Solve the inequality.
(x - 5)(x^2 + x + 1) > 0
a. (-∞, -1) or (1, ∞)
b. (-1, 1)
c. (-∞, 5)
d. (5, ∞)

Click here to see answer by josgarithmetic(39618)

Question 1061018: Answer the question about the given function.
Given the function f(x) = -3x^2 - 6x - 6, is the point (-1, -3) on the graph of f?
a. Yes
b. No

Click here to see answer by josgarithmetic(39618)

Question 1061029: State whether the function is a polynomial function or not. If it is, give its degree. If it is not, tell why not.
f(x) = 8-x^3 / 8
a. Yes; degree 3
b. No; x is a negative term
c. No; it is a ratio
d. Yes; degree 1

Click here to see answer by ikleyn(52794)

Question 1061019: Determine whether the equation is a function.
x + 8y = 5
a. function
b. not a function
Click here to see answer by ikleyn(52794)

Question 1061017: Find the value for the function.
Find -f(x) when f(x) = 2x^2 - 5x + 3.
a. -2x^2 + 5x + 3
b. 2x^2 + 5x + 3
c. -2x^2 + 5x - 3
d. 2x^2 + 5x - 3

Click here to see answer by ikleyn(52794)

Question 1061022: Answer the question about the given function.
Given the function f(x) = x^2-8 / x-3, if x = -2, what is f(x)? What point is on the graph of f?
a. 4 / 5 ; (4 / 5, -2)
b. - 12 / 5 ; (-2, - 12 / 5)
c. - 12 / 5 ; (- 12 / 5, -2)
d. 4 / 5 ; (-2, 4 / 5)

Click here to see answer by ikleyn(52794)

Question 1061078: Find the domain of the function.
g(x) = x / x^2-64
a. {x|x ≠ 0}
b. {x|x > 64}
c. {x|x ≠ -8, 8}
d. all real numbers

Click here to see answer by KMST(5328)

Question 1061076: Find the indicated intercept(s) of the graph of the function.
y-intercept of f(x) = (5x-15)(x-4) / x^2+12x-19
a. (0, 3)
b. (0, 4)
c. (0, 60 / 19)
d. (0, -60 / 19)

Click here to see answer by KMST(5328)

Question 1061077: Find the domain of the rational function.
f(x) = 2x^2-4 / 3x^2+6x-45
a. {x|x ≠ -3, x ≠ 5}
b. {x|x ≠ 3, x ≠ -5}
c. all real numbers
d. {x|x ≠ 3, x ≠ -3, x ≠ -5}

Click here to see answer by KMST(5328)

Question 1061111: For the equation, complete the given ordered pair.
5x+2y=10
(-2,_)
Please help me
Click here to see answer by josgarithmetic(39618)

Question 1061111: For the equation, complete the given ordered pair.
5x+2y=10
(-2,_)
Please help me
Click here to see answer by MathTherapy(10552)

Question 1061074: Find the vertex and axis of symmetry of the graph of the function.
f(x) = -3x^2 - 6x - 2
a. (-1, 1) ; x = -1
b. (2, -26) ; x = 2
c. (1, -11) ; x = 1
d. (-2, -8) ; x = -2

Click here to see answer by josgarithmetic(39618)

Question 1061073: Find all zeros of the function and write the polynomial as a product of linear factors.
f(x) = 3x^4 + 4x^3 + 13x^2 + 16x + 4
a. f(x) = (3x - 1)(x - 1)(x + 2)(x - 2)
b. f(x) = (3x + 1)(x + 1)(x + 2i)(x - 2i)
c. f(x) = (3x - 1)(x - 1)(x + 2i)(x - 2i)
d. f(x) = (3x + 1)(x + 1)(x + 2)(x - 2)

Click here to see answer by ikleyn(52794)

Question 1061071: Find the power function that the graph of f resembles for large values of |x|.
f(x) = -x^2(x + 4)^3(x^2 - 1)

a. y = x^7
b. y = -x^7
c. y = x^3
d. y = x^2

Click here to see answer by ikleyn(52794)

Question 1061178: Find the indicated intercept(s) of the graph of the function.
x-intercepts of f(x) = 2x + 7 / x - 5
a. (5, 0)
b. (- 7 / 2, 0)
c. (7 / 2, 0)
d. (-5, 0)

Click here to see answer by josgarithmetic(39618)

Question 1061170: Find the value for the function.
Find f(x + h) when f(x) = -3x+5 / 7x+4.
a. -3x - 3h + 5 / 7x + 7h +4
b. -3x + 2h / 7x + 11h
c. -3x + 5h / 7x + 4h
d. -3x - 3h +5 / 7x + 4

Click here to see answer by jim_thompson5910(35256)

Question 1061185: Determine aa so that A(t) = A0atA(t) = A0at describes the amount of gold-194 left after tt days, where A0A0 is the amount at time t = 0t = 0. Round to six decimal places.
Click here to see answer by josgarithmetic(39618)

Question 1061312: Find the indicated intercept(s) of the graph of the function.
x-intercepts of f(x) = 2x+7 / x-5
a. (5, 0)
b. (-7 / 2, 0)
c. (7 / 2, 0)
d. (-5, 0)

Click here to see answer by josgarithmetic(39618)

Question 1061307: Find all zeros of the function and write the polynomial as a product of linear factors.
f(x) = 3x^4 + 4x^3 + 13x^2 + 16x + 4
a. f(x) = (3x - 1)(x - 1)(x + 2)(x - 2)
b. f(x) = (3x + 1)(x + 1)(x + 2i)(x - 2i)
c. f(x) = (3x - 1)(x - 1)(x + 2i)(x - 2i)
d. f(x) = (3x + 1)(x + 1)(x + 2)(x - 2)

Click here to see answer by KMST(5328)

Question 1061306: Determine whether the rational function has symmetry sigh respect to the origin, symmetry with respect to the y-axis, or neither.
f(x) = (5x-15)(x-6) / x^2+18x-19
a. symmetry with respect to the y-axis
b. symmetry with respect to the origin
c. neither

Click here to see answer by KMST(5328)

Question 1061308: Use the intermediate value theorem to determine whether the polynomial function has a zero in the given interval.
f(x) = -2x^4 + 2x^2 + 4; [-2, -1]
a. f(-2) = 20 and f(-1) = 5; no
b. f(-2) = -20 and f(-1) = 4; yes
c. f(-2) = 20 and f(-1) = -4; yes
d. f(-2) = -20 and f(-1) = -4; no

Click here to see answer by ikleyn(52794)

Question 1061311: Find the domain of the rational function.
g(x) = x+5 / x^2+49x
a. all real numbers
b. {x|x ≠ -7, x ≠ 7, x ≠ -5}
c. {x|x ≠ -7, x ≠ 7}
d. {x|x ≠ 0, x ≠ -49}

Click here to see answer by ikleyn(52794)

Question 1061414: f(x)=2x-3 and g(x)=x^2+2.
a) Find g(-4)
b) Show that gf(x)=4x^2-12x+11
c) Solve fg(x)=gf(x)
Click here to see answer by ikleyn(52794)

Question 1061296: Determine algebraically whether the function is even, odd, or neither.
f(x) = x / x^2+2
a. even
b. odd
c. neither

Click here to see answer by Fombitz(32388)

Question 1061436: A farmer has 300 feet of fence in which to enclose a corral for his horses. The corral will be constructed as shown below. Find the dimensions (values of x and y) that will maximize the area.
so far I have 3x+2y=300
Have 2 sides of Y and 3 sides of X
Click here to see answer by ikleyn(52794)

Question 1061433: A movie theater holds 1000 people. With the ticket price at $8 during the week, the attendance at the theater has been 200 people. A market survey indicates that for every dollar the ticket price is lowered, attendance increases by 50.
(a) Find a function that models the revenue R in terms of the ticket price x .
(b) What ticket price will maximize the revenue?
Click here to see answer by ikleyn(52794)

Question 1061480: Question 22
Suppose that the function
h
is defined, for all real numbers, as follows.
h(x) 1/2x-2 if xdoes not equal 2
1 if x = 2
find h(-5),h(2), and h(5)

Click here to see answer by solver91311(24713)

Question 1061434: A rectangular box with a square base has surface area 52 in2. Find a function that models the volume of the box in terms of the length x of one side of its base.
Click here to see answer by josgarithmetic(39618)

Question 1061690: For a given input value m the function f outputs a value n to satisfy the following equation.
7m+2=6n-5
write the formula for f(m) terms of m
Click here to see answer by rothauserc(4718)

Question 1061710: Find the median of 22, 20, 19, 24, 23, 21, 19:
Click here to see answer by Edwin McCravy(20056)

Question 1061641: 13. h(x) = (-7/5)x - 1
17. f(x) = -(1/5)x + 3/5
g(x) = -5x + 3

18. f(x) = x + 1/2
g(x) = 1x - 1/2

19. f(x) = (63x + 42)/49
g(x) = (7/9)x - 2/5

Click here to see answer by Alan3354(69443)

Question 1061417: write a linear function f(4)=-3 and f(0)=-2
Click here to see answer by Fombitz(32388)

Question 1061845: Let f(x)=3x-2, g(x)=6x-1
What is (g/f)(x)?
Click here to see answer by Boreal(15235)

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