observe as you compare the difference quotient to the slope of the linear function? 7. Given f(x) = v2x - 5, evaluate the following and completely simplify your answer: a. f(a + h) [la+h)-f(a) b. r(a+h)-f(a) C. lim h 8. Evaluate the following difference quotients and limits for the given functions: Limits

Q: Given the function f(x) = x³ - 3x2 x – 1, determine all coordinate points (x, y) on the graph of f…

A: The derivative of the function will give the value of slope. For two value of x, f(x) will have…

Q: 3) approximate the slope of the graph of f (z) = r at the point (1, 1). y 4 3 (1, 1) 2. 4 3 2.

A: The slope of a graph tells that by how much the value of y changes when the value of x changes by 1…

Q: 12. If fis given by the equation f(x) = 5x² - 4 + In x, what is the slope of the line that is…

A: The slope of tangent to a curve y=fx at point x=a is evaluated by calculating the value of  dydxx=a.

Q: Sally is analyzing a circle, y2 + x2 = 9, and a linear function g(x). Will they intersect?  Yes, at…

A:

Q: Suppose that f is a linear function with slope -3.4 and that f (3) = 4. What value of x gives f(x) =…

A:

Q: Q4) Determine slope of a curve y = x* +1 at x = 1

A:

Q: Suppose that average annual income (in dollars) for the years 1990 through 1999 is given by the…

A:

Q: A note card company has found that the marginal cost per card of producing x note cards is given by…

A:

Q: 8. Given the relation x² – xy +y³ = 7, determine the slope of the line tangent to the curve at…

A:

Q: From the text, the average rate of change of the function f(x) = 8x + 6x over the interval x = 1 to…

A: Given function, f(x)=8x2+6x  interval x=1 to x=2

Q: Find the slope of the tngent line to the graph of the given function at the given Value of X.…

A:

Q: Suppose that f is a linear function with slope -3.6 and that f (1) = 4. What value of x gives f(x) =…

A:

Q: Suppose that f is a linear function with slope -3.6 and that f (2) = 8. What value of x gives f(x) =…

A:

Q: For a host - parasite relation, it was determined that when the host density (number of hosts per…

A: y = 1000 x10 + 43 x,where,y = No. of hosts that have parasite,x = No. of hosts per unit area

Q: he idea of a large, stable middle class (defined as those with annual household incomes in 2010…

A: Given that  middle class shrank from 61% in 1971 to 51% in 2011. Since the decline in percentage is…

Q: What is the relative extrema for the function f(x,y) = -x^4 - y^4 ?

A: Given function is f(x,y)=-x4-y4 Find the relative extrema

Q: A note card company has found that the marginal cost per card of producing x note cards is given by…

A: Given query is to find a cost fo production of 620 cards.

Q: determine the slope function S(x) for f(x)= lxl

A:

Q: Suppose that f is a linear function with slope 4 and that f(2) =  4.   Find the equation for f and…

A:

Q: Suppose f is a linear function such that f(3) = 3 and f(6) = 18. What is the slope m of f?

A:

Q: Q6. The price received from sales in OMR per unit is given by p=x +x+1. i. the revenue function, ii.…

A: This question can be solved using the concept of marginal revenue.

Q: The level curves of the function f (x, y) = V2x2 + y? – 1 are

A: Please refer to the image below

Q: For function f (x, y) x2+1 Let us consider the level curve f(x, y) = 2. Does the point (1, 2) belong…

A: f(x,y) = y2/(x2+1)  Also,  f(x,y) = 2  We have (x,y) = (1,2)

Q: Suppose that f is a linear function such that f(3)=5. If the slope of f is 2.9 then what is f(5)?

A:

Q: ATTACHED THANKYOU

A: Given that the first term of the AP is a and common difference is d.And the AP is constructed by the…

Q: Find the exact lenght of the curve. when 0 is less x and x is less than or equal to 1 y=2+2x3/2

A:

Q: Suppose that f is a linear function with slope -3.6 and that f(2) = 4. What value of x gives f(x) =…

A:

Q: uppose that f is a linear function with slope -3.2 and that f (2) = 4. What value of x gives f(x) =…

A: Given that the f is a linear function. Slope = -3.2 f(2) = 4

Q: Suppose that fis a linear function such that f(2) = 4 and f(5) = 16. What is the slope m of ? m D

A:

Q: Given the function values f(−5)=10 and f(0)=0, complete the following: Write a linear function…

A: Given(-5,10) (0,0)slope m= -2

Q: Suppose f(x) = (x² + 1) · g(x), where g(æ) = mx + b. Find the slope, m, of g if f(0) = 3 and f' (1)…

A:

Q: The derivative of f is xʻ(x-2Xx+3). At how many points will the graph of ƒ have a relative maximum?…

A:

Q: Let f be the linear function f(x) = -3x + 7. (a) The rate of change of f is (b) The graph of f is a…

A: Objective is to fine the rate of change , slope and y-intercept Intercept.

Q: 3. Determine the slope of each of the followir (a) y=x at x = 3 (b) y=x + 4x – 3x + 2 at x = 2 (c)…

A:

Q: a. Find the inverse of the function ƒ(x) = mx, where m is a con-stant different from zero. b. What…

A: a. given,

Q: Suppose that f is a linear function with slope 2.2 and that f(5) = -3. What value of x gives f(x) =…

A: We have to find out x value for which f(x)=0

Q: When a bus pass from Albuquerque to Los Alamos is priced at p dollars, a bus company takes in a…

A: (a)

Q: Substitute c = 2 in the formula for slope as follows. %3D + Ax) - g ( lim Ax- 0 m = Ax

A: We have to substitute in the slope formula.

Q: The idea of a large, stable middle class (defined as those with annual household incomes in 2010…

A:

Q: If f(x) is vs, what is the minimum value of f(x) for xE(0,2]? 7. 25 when 8. f(x) ={ 1 x+- otherwise…

A: Introduction :

Q: What is the slope of the function f(x) = x² + 2xy – y? = 3 at (1,1)? A. 0 B. No slope C. 1

A:

Q: The energy requirements for walking (ƒ(x) in W/kg) were determined for 8 Adélie penguin chicks with…

A: f(x)=41.3x+8.9          where, x∈0,0.3So, if we put value of x in m/s in f(x) then we get energy…

Q: Answer the following questions. (a) Which functions have graphs with slopes less than 3? (Check all…

A:

Q: 2. Estimate the slope of ffx) at the point: a) where x = 3 b) where x = 2 f(x) 4 2 1 2 3 4 5 6 3. 1.

A:

Q: Suppose that f is a linear function with slope -3.6 and that f(3) = 6. What value of x gives f(x) =…

A:

Q: If f(x)=5x2, and g(x)=f−1(x), what is the slope of the curve g(x)=f−1(x)g(x)=f−1(x) at the point (5,…

A:

Q: The function C(r) = 15r² – 50 %3D gives cost in dollars of producing r items. What is the marginal…

A: Given : cost function : C(r) = 15r2 - 50 To find :  Marginal cost of increasing r by 1 item from…

Q: (4 Use the definition of f'Cx) to find the deriva tive of f Cx)= x². to find the slope of the…

A: The function is given by fx = x2 To evaluate: The derivative of the function fx using the definition…

Q: Suppose that f is a linear function with slope -3.2 and that f(2) = 8. What value of x gives f(x) =…

A:

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.