Refer to the function f = {(-2, 4), (-4, 8), (5, 2), (0, 9)}. For what value of x is f(x) = 4?

Q: Write the domain for the linear parent function in interval notation. O (-0, 0) U (0, ∞) O (-0, 0) O…

A: Linear parent function is of the form y=x. Domain of any function y=f(x) is the value of x for which…

Q: The range of f(x)=/4-x² is [0,2] O (-00,2] [2,0) O [-2,0] [-2,2]

A: Range :- set of all output values

Q: What is the range of the function f (x) = | x | + 2

A: Given:The function is f(x) = |x| + 2

Q: Is the function even, odd, or neither?

A: From the graph of the given function, it is observed that the graph is symmetric about origin. Or it…

Q: What is the domain of the function f(x) = Vx- 3? %3D А. (3, о) В. (-о, 3] С. [3, о0) D. (-00, 3)

A: To find the domain of the given function.  f(x) = √(x-3)

Q: Discuss the Functions of more than two Variables?

A: Functions of Two Variables The definition of a function of two variables is very similar to the…

Q: Differentiate the function with respect to the independent variable. f(x) = In (3 -x²) f'x) = D

A:

Q: If f( x) = x² , what is f'(x)?

A:

Q: Sketch linear function f(x)=-3/4x-6

A: Given: sketch the linear function

Q: Sketch the graoh of the function if x < -2 f(x) if – 2 < x < 2 x – 1 if 2 < x 2.

A:

Q: What is the range of the function f(x) = 3x + 2 %3D when the domain is {-2,-1, 2}? O a {-8, –5,8) O…

A: Given,                   f(x) = 3x + 2 And domain is     {-2, -1, 2}

Q: If f(-x)=(2,-1), what are the coordinates of f^(x)?

A: Given that,  f-x=2,-1

Q: Describe the domain and range of the function. f(x, y) = 9x²-y

A:

Q: is the function even, odd, or neither?

A:

Q: Differentiate the function with respect to the independent variable. f(x) = (6 - 5x²) ³ f'(x) =O

A: Given, fx=46-5x23

Q: 2. If f(x) =-x +2x-5, find f(-2).

A:

Q: Can you calculate f(−2), f(x + 5), f(α), and f(α + Δ) for the function f(x) = 2π2?

A: The given function is: f(x) = 2π2. Yes we can calculate  f(-2) and other values f(x+5), f(α) and…

Q: Determine f, (x); f(x) = Vx² + 4

A: This question about differentiation

Q: How do I find f(x+h)?

A: We plug x+h in place of x

Q: 5. If f(x) = x – 4, find f(-2)

A: Given :                 f(x) = x2 - 4 To find :               f(-2)

Q: -4 -6 -2 4 -6

A: To find the interval where the function is positive first we  choose  some points in the given…

Q: Use the table to evaluate f(-1). x------ -3,-2,-1,0,1,2,3 y=f(x)--- 3,-3,2,1,-2,0,-3

A:

Q: If (-3, 1) is in the function f(x), then which of the following points will be in the function f…

A: (-3, 1) is in f(x)  Hence,  f(-3)  =  1    Taking the inverse of f at both sides    f-1 ( f(-3) )  =…

Q: Find the length of the function f(x)=25-(1/2)x from x=3, and x=6 Length=

A: given f(x)=y=25-x2diffrentiatedydx=-12

Q: Determine whether the function {(0, - 4), (2, - 2), (4, 0),(6, 2)} is one-to-one

A: Given: Let fx=0, -4, 2, -2, 4, 0, 6, 2 To Find:  To determine whether the given function is…

Q: If f(-x)=(2,-1), what are the coordinates of f'(x)?

A: If coordinates of f(x)= (x,y) then  coordinates of inverse of the function f(inverse)(x) = (y,x)

Q: The range of the function f(x, y) = 6 - 4 - x2 - y² is (-00, 6] o [4, 0) [4, 6] (-0,4] [6, 00)

A:

Q: Over the interval of (1,∞) the function is positive, negative, increasing, or decreasing?

A: The given function is as shown below :

Q: find the extreme values on the interval f (x) = x2/3 − 2x1/3, [−1, 3]

A:

Q: Differentiate the function 7) a) f(x) = - 2

A: Here we have to find the derivative of the given function.  Here we use some standard formula of…

Q: Choose the interval where the function is positive. -4 -6 -2 2 2 4 -6 -00 < < 00 0<< 00 C -2 <<2 -00…

A:

Q: Determine if the function f(x) = x* + 2x* is even, odd or neither?

A:

Q: Find the range of the Function /(a) 12 0(-, ) O (-x, 12) O (-, 0)U (0, o) 0-, 12) u (12, oo)

A: Topic - functions Range of the function is the values for which f(x) is defined. The given function…

Q: Evaluate the piecewise function at the given value of the independent variable. (2x +5 ifx <-2 f(x)…

A: Determine   f(–6) Here  –6 &lt; –2  so we taking the function f(x) = 2x + 5 because in this function…

Q: Consider the function f(1, 9) = 2r-4x- ry +2y-3.

A:

Q: Find an expression for the function f(x) whose graph is a line passing through the points (4, 5) and…

A: Find the slope of the line. Start with the slope formula.

Q: - ∞ , - ∞)   B.( x | x ∈ R )   C.(- ∞, ∞)   D.( y | y ∈ R )

A: The function given is , y = 3x - 3. The domain of the function is defined as the set of values of x…

Q: When is the function said to be real-valued?

A: The function is said to be a real valued function if it assigns a real number for each input value…

Q: 3* f(x) =

A: Let I denote the open interval (a, b) in R and let x0∈I. Then a function f: I→R is said to be…

Q: Differentiate the function with respect to the independent variable. f(x) = In (3-x²) f'(x) =O

A: Consider the given equation is, f(x)=ln(3-x2) Then differentiate the above function with respect to…

Q: Sketch: f(x) = [x + 2]] − 1, on [−2,2]

A: We have to draw the graph

Q: Differentiate the function   f(x) =    5  - 1 /x

A:

Q: - Consider the function f(x) = x* – 182 + 8, - 2 <7.

A: In this question we find the absolute maximum and minimum for the given value of function.

Q: Verify that the function satisfies the three hypot F(x) = 2x² - 4x + 9, [-1, 3)

A: Rolle's Theorem: Rolle's theorem states that if a function f(x) is continuous in [a, b] and…

Q: Apply the definition to differentiate the following functions: 1- y = ₁ 2- y = √√x 3-y=4-x²

A:

Q: |Find constants a, b, and c such that the function f (x) = x³ + ax? + bx + c will INCREASE to the…

A: Let's find.

Q: What is the linear function of f(x)= -1/2x

A: Linear function

Q: xpressed as a function of x.

A: Given,

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: