Compare the functions shown below:f(x) = x3 + 2x2 − 4x − 3
g(x)
polynomial graph with x intercepts at negative 2, negative 1, 1, 3, y intercept at 6
h(x)
trig graph with points at 0, 3 and pi over 2, 0 and pi, negative 3 and 3 pi over 2, 0 and 2 pi, 3
Over the interval x = 0 to x = 2π
Which function has the most x-intercepts?
Answers
f(x) has at most 3 x-intercepts and g(x) has 4, so g(x) has more x-intercepts.
Which function has more x-intercepts?
Remember that for a polynomial p(x) of degree N, the maximum number of x-intercepts that the polynomial can have is N.
In this case, the functions are:
So the degree of f(x) is 3, so it has at maximum 3 x-intercepts.
The other function g(x) has the x-intercepts:
x = -2, x = -1, x = 1, x = 3
So it has 4 x-intercepts.
Then we can conclude that g(x) has more x-intercepts.
If you want to learn more about polynomials:
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B.) {(3, -3), (9, -6), (3, -9)}
C.) {(3, -3), (9, -6), (9, 2), (0, -9)}
D.) {3,9,0,-4}
Answers
Answer:
The function is expressed by answer A
Step-by-step explanation:
A function is a mathematical expression in which, for an independent variable , usually called x, we obtain one and only one value after applying the function, usually known as the dependent variable y.
D is not a function as we do not have two corresponding values or coordinate pairs. We only have a list of numbers
In C, B and A we have pairs of coordinate values expressed as (x,y) the independent and dependent variable.
In expression B, we see that the for the value of x=3 in ponts 1 (3.-3) and (3.-9) , the value 3 has two resulting values of y , -3 and -9, so this coordinates do not represent a function.
In option C, occurs something similar in this case with x =9. x=9 has two values in y : y=-6 and y= 2 so these points do not define a function
In A each x value (3.9.0) has a unique avlue of y (-3,-6,-9) so this is a function.
Answers
Answer is about 13. i hope this helps.
Answers
3x − 5y + 3z = 9
3x + 6y − z = 1
(−1, 0, −2)
(1, 0, −2)
(−1, 0, 2)
(1, 0, 2)
Answers
Answer D (1,0,2) (méthode du pivot de Gauss)
B.0.447
C.0.558
D.0.894
E. 1
Answers
tan 26.57 = AB / 17.89
so AB = 17.89 * tan 26.57 = 8.9469
By pythagoras
Bd = sqrt ( 17.89^2 - 16^2) = 8
AD = sqrt (8.9469^2 - 8^2) = 4.006
cos A = 4.006/ 8.9469 = 0.447
With reference to the diagram, what is cosA?
B.0.447
For which rational numbers of a is the expression a-3/3: less than 5/2 a is a positive number
I need help cuz this i rsm and my class is in an hour *AND GIVE ALL ANSWERS!!!!!!!*
Answers
Answer:
a=?
a=?
a=?
Step-by-step explanation: