18. Use the vertical line test to determine if y is a function of x in the graph. Which of the following statements is correct? O y is a function of x O y is not a function of x

Q: Consider the following relation. −3x+5y=−2x−5y Step 1 of 3 : Rewrite the relation as a function of…

A: Consider the following equation: -3x+5y=-2x-5y5y+5y=-2x+3x10y=xy=x10

Q: Given that (1,-8) is on the graph of f(x), find the corresponding point for the function f(x).

A: According to question given that Corresponding point= (1,-8)from above data we know that f(1)=-8This…

Q: f(x,y)=x+y f(x,y)=x-y

A: Solution Given f(x,y)=x+yf(x,y)=x-y we need to draw the following function

Q: Is the function f : Z→Z defined as f(n)=n^3+2 one-to-one ?

A:

Q: Which table does NOT show y as a function of x? 1 1 1 1 10 8 4 2 y 9 11 9. 14 14 15 16 17 18 100 80…

A: 3rd option is correct.

Q: Consider the following function and closed interval. g(x) = (x² – 9)²/3, [-5, 4]

A:

Q: 3. Consider f(x) = Vx and g(x) = x3 + 2, construct the following function. g(f(x)) f(x) g-'(x)

A:

Q: Determine which of the points in the following list lie in the domain of the function f(x, y) =…

A: Let's find.

Q: Select all of the following tables which represent y as a function of x and are one-to-one. x| 4 8…

A: From the definition of a function, There must not exist such x in its domain such that there is more…

Q: 5. Check the following boxes to indicate if each of the following is true or false. Function T F…

A:

Q: determinewhether y is a function of x 45. y2 = x2 − 1.

A: Solution: Consider the given that : y2=x2 - 1 y = x2 -1 For x = 0 y = -1 =i That is not possible in…

Q: 17. Let f be the function defined by f(x) x- 2

A: Given : f(x)=|x-2| Graph the given f(x) by making a table Assume some x values and find out f(x)…

Q: 1. Determine if the following relations describe a function. Justify your answer. a) R1 = {(1,8),…

A:

Q: Construct a table of values of the following functions using the interval of -5 to 5 a.…

A: When x=-5 g(x)=-52+3×-5-5-52=0.2   Similarly , we substitute -4, -3, -2, -1, 1, 2, 3 ,4 ,5 in the…

Q: 19. If the original function f(x) = 2x² – 1 is shifted to the left 3 units to make the function…

A:

Q: Use the given function f to answer parts (a) through (f) below. f(x) = - 3+ In x

A:

Q: Let f be the function defined by f (x) = x³ – x² – 6x. What is the absolute maximum value of f on…

A:

Q: What describes a true relationship between the f(x) and g(x) over the interval [2,4] 4 f(x) 1 3 7 9.…

A: Follow step 2 .

Q: 10) Suppose that the functions f and g are defined as follows. fx) = -5x² + 2x g(x) = 3x – 2 Find()…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the rule of the function associated with the following table. 1 2 3 y 1 2.5 4 5.5 -x+1 2 3 y =…

A:

Q: 8. A car manufacturer determines that its profit odeled by the function P(x) = 0.00125x4 + x - 3, wi…

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Suppose that f and g are both odd. Which of the following functionsare even? Which are odd?(a) y = f…

A:

Q: p(x, y, z) = 4 – x² – y²

A: Domain of the function is the values of x,y and z for which function is defined.

Q: 11. What property must f(x) have in order for f'(x) to exist?

A:

Q: 1. Write the conditions a function has to meet in order to be continuous at point a. a) b)

A: A function f(x) has to meet these conditions in order to be continuous at any point a

Q: 1. Write a function of x, f(x), such that the following graph represents y=f(x).

A: Here we need to find a function for given graph in the question. According to the definition of…

Q: 2x if x 2

A: This is a problem of limit and continuity. Function is called as continues if it's left and right…

Q: 2. Determine whether the function is one-to-one. (a) y = 4x2 + 3 %3D (b) y = Vx + 3 – 5

A:

Q: 2. Determine if the following function is differentiable. x² +10, x <4 f(x) = 8x-6, x24 wwww

A:

Q: 0 2 46 8 10 12 f(r) = 16 14 13 14 16 20 23

A:

Q: Q4. Let f(x)=e(x+l) > Find f(x). > State the domain of f¯'(x)

A: Given: The given function f(x)=ex+1

Q: 0.4x + 0.2, x 2 -

A: The given function f(x) is, f(x)=0.4x+0.2x&lt;21x=21.8x-2.6x&gt;2 A function is said to be continues…

Q: 3. The peicewise function, f(x), pictured to the right consists of segements of linear functions.…

A: We have to determine which statement are true.

Q: Use the vertical line test to determine if y is a function of x in the graph. Which of the following…

A: The vertical line test states that a vertical line needs to cuts the graph of a function at only one…

Q: x² – 4 Ax) xx – 2

A:

Q: c) Does the equality |A U B| = |A| + |B| hold for some sets A and B? d) Is the composition of two…

A:

Q: nsider the following relation. Зх — 2у %3D 4 ep 1 of 3: Rewrite the relation as a function of x.

A:

Q: 3. (a) If f:X→ Y and g: Y→ Z are functions and go f is one-to-one, must g be one-to- one? Justify…

A: Answer is NO  It is not necessary that if g∘f is one one then g must be one . But some time it may…

Q: For the function f (z) =

A: Given,            f(z)=coszz

Q: Given the table below, determine whether y is a function of x and if the function is one-to-one. 9.…

A:

Q: Use the vertical line test to determine if y is a function of x in the graph. Which of the following…

A:

Q: List the points in the graph at which the function is not differentiable. f Xo X2 X3 X4 X5 Select…

A: We know that if a function fx is continuous at x=a, then limx→a-fx=limx→a+fx=limx→afx=fa. Also, we…

Q: o f(x) f(x) is not a function because when x < 0 f(0) is undefined < 0 is undefined is defined

A: We have to complete the sentence.

Q: t(x) =             1                        64 + x^2

A: Domain : -∞, ∞

Q: Let h(x)=f(x)/g(x), where f(−3)=7,f′(−3)=−9,g(−3)=−2, and g′(−3)=1. What is h′(−3)?

A: Given query is to find indicated derivative.

Q: Does the relation represent y as a function of x? 4 Yes, because each value of æ corresponds to…

A: Given: y=4x3 We know that any given expression is called a function of x, if it gives only one value…

Q: 2. Suppose that f(x) is a function with f(20) = 345 and f'(20)=6. Estimate f(22). [4 marks]

A:

Q: Find the rule of the function associated with the following table. 1 2 3 y 1 2 4 8 Oy = 2(2)* Oy =…

A: Given, The data table between x  and y  We have to find the function associated with the table.

Q: 3. (a) If f: X→ Y and g: Y→ Z are functions and go f is one-to-one, must g be one-to- one? Justify…

A: