if the first number is x and the second number is y
1^3 = 1
2^3 =8
3^3=27
4^3 = 64
y=x^3
f(x)=x^3
Answer:d. Y=x3
Step-by-step explanation:
B. y = tan x
C. y = cot x
D. y = csc x
Answer:
B. y = tan x and C. y = cot x
Step-by-step explanation:
Range:
range is defined as the set of values that any given function y=f(x), can take for which the x values are defined. It is the value that y can take for the values of x.
Given:
From the given options
the range of tanx and cotx are all real numbers
as the period of tanx and cotx are π
where as range of secx is all real numbers except π/2 + n*π i.e.
(-∞ , -1] U [1 , + ∞)
And range of cscx is all real numbers except n*π i.e.
(-∞ , -1] U [1 , + ∞)
So from the given option:
option B and C are correct while A and D are not !
The answer is: The correct options are B. Tan(x) and C. Cot(x)
The range is the output of a function when we evaluate the function with inputs (domain), not all functions have a range of all real numbers, however it's more common to find functions without range or domain restrictions.
Both options B. Tan(x) and C. Cot(x) have a range of all real numbers while the functions Sec(x) and Csc (x) have a restricted range.
Sec(x) and Csc(x):
Domain, all real numbers.
Range, from -1 to 1 or [-1,1]
Tan(x) and Cot(x):
Domain, all real numbers except
Range, all real numbers.
Hence, the correct options are B. Tan(x) and C. Cot(x)
Have a nice day!
the probability of rolling an even number?
0 0
O 1/6
O 1/2
O 1
answer: 1/2
Answer:
iM tHe bAd gUy
duh-
Step-by-step explanation:
For the given function f(x) = | -2x + 4 |, the data is shown in the table below.
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that the function is, f(x) = | -2x + 4
Let's begin with the table's first line: x = 6, When x equals 6, you are determining the value of function f. Evaluate the equation after substituting 6 for x.
f(6) = |-2(6) + 4|
f(6) = |-12 + 4|
f(6) = |-8|
f(6) = 8
For the Second line of the table,
x = -1
f(x) = |-2x + 4|
f(-1) = |-2(-1) + 4|
f(-1) = |2 + 4|
f(-1) = |6|
f(-1) = 6
The third line of the table,
f(x) = 4
f(x) = |-2x + 4|
|-2x + 4| = 4
-2x + 4 = 4 or -2x + 4 = -4
-2x = 0 or -2x = -8
x = 0 or x = 4
Line 4: f(x) = 14
f(x) = |-2x + 4|
|-2x + 4| = 14
-2x + 4 = 14 or -2x + 4 = -14
-2x = 10 or -2x = -18
x = -5 or x = 9
Thus, for the given function f(x) = | -2x + 4 |, the data is shown in the table below.
Learn more about the function here,
#SPJ2
Answer:
See below.
Step-by-step explanation:
To complete the table, start by copying the given function.
f(x) = |-2x + 4|
Now let's start with the first line of the table: x = 6.
You are finding the value of function f when x = 6.
Replace x with 6 and evaluate the expression.
f(6) = |-2(6) + 4|
f(6) = |-12 + 4|
f(6) = |-8|
f(6) = 8
Second line of table:
x = -1
f(x) = |-2x + 4|
f(-1) = |-2(-1) + 4|
f(-1) = |2 + 4|
f(-1) = |6|
f(-1) = 6
For the third and fourth lines, you are given a y value, or the value of function f, and you are looking for x. Now you use the given value to set the function equal to, and you solve for x.
Line 3: f(x) = 4
f(x) = |-2x + 4|
|-2x + 4| = 4
-2x + 4 = 4 or -2x + 4 = -4
-2x = 0 or -2x = -8
x = 0 or x = 4
Line 4: f(x) = 14
f(x) = |-2x + 4|
|-2x + 4| = 14
-2x + 4 = 14 or -2x + 4 = -14
-2x = 10 or -2x = -18
x = -5 or x = 9
The table looks like this:
x f(x)
6 8
-1 6
0,4 4
-5, 9 14
Answer:
Step-by-step explanation:
The slope-intercept form:
m - slope
b - y-intercept
Parallel lines have the same slope.
We have y = 5x → m = 5.
The point-slope form:
We have the slope m = 5 and the point (1, -1). Substitute:
Answer:
y + 1 = 5(x - 1)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
given y = 5x with slope m = 5
• Parallel lines have equal slopes
for line L with m = 5 and (a, b) = (1, - 1) then
y + 1 = 5(x - 1) ← in point- slope form