Let f be the linear function defined by f(x) = 3x + 2. (a) Make a table of values, and sketch a graph. (b) What is the slope of the graph of f?

Q: Find the slope of the graph of the function at the given point.                         f(x) = 3x2 −…

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Q: Find the slope of the secant line to the function f(x)=4x²- 3x, through point P, where x= - 1, and…

A: To find the slope of secant line PQ to  the function f(x)

Q: Find the slope of the secant line between x=2 and x=5 on the graph of the function f(x)=−2x2+2x+3.

A: We have to find  the slope of the secant line between x=2 and x=5 on the graph of the function…

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A: Let fx=x3. We have to find the slope of the line through the points on the curve y=f(x) where x1=-2…

Q: let f(x)=0.5x2-5 find the slope of the secant line through (2,f(2)) and (4,f(4))

A: Let f(x)=0.5x2-5. We need to find the slope of the secant line through (2,f(2)) and (4,f(4)). Here,…

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Q: Let f (x) = Vx. %3D Find the slopem and the point-slope equation of the line tangent to the graph of…

A: If a function gx represents a curve then g'a represents the slope of curve at x=a.

Q: b) Find the slope of the function f(x) = VI+1at point (15,4).

A: The slope of  f(x) at a point (a,b) or x=a and f(a)=b is given by, df(x)dxx=a or f'(a)

Q: Find the linearization of the function at the given point.

A: Given: f(x,y,z)=tan-1xyz Linearization of multivariable functions Recall the linearization of a…

Q: Find the slope of the secant line between the values x1 and x2 for each function y = f (x). f (x) =…

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Q: Find the slope of the secant line between x=−2 and x=3 on the graph of the function f(x)=−2x2 −5x+1.

A: The point on the graph when x =-2 is given by plugging x=-2 in the function:Hence, the point on the…

Q: Use the vertical line test to identify graphs in which y is a function of x.

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Q: What can you conclude about the inverse of a function y = ƒ(x) whose graph is a line through the…

A: Given Data The function is y=f(x).   The graph is a line through the origin with a nonzero slope m.…

Q: What are Linear Functions?

A: Linear functions:                                The functions whose graph is a straight line in an…

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

A: Vertical line test: If you draw a vertical line to the graph and it intersects the graph two or more…

Q: Which is always a characteristic of the graph of a linear function?

A: Explanation of the solution as follows:

Q: as a function of x when y =

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Q: Estimate the slope of the function (x) at x = -1 using the graph below.

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Q: Find the slope of the graph of the function at the given point.

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

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

A: To use the vertical line test to determine y is a function of x. Given graph is:

Q: Find the point at which the line f() = --1 intersects the line g(a) 2 + 8

A: Two lines f(x)=-x-1 and g(x)=2x+8 , we have to find the point at which both lines intersects.

Q: Interpret the Mean Value Theorem when it is applied to any linear function.

A: Interpret the Mean Value Theorem when it is applied to any linear function.

Q: the piece wise linear function f(x) is shown to the right.

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

Q: Find the point at which the line f(x) = – x – 2 intersects the line g(x) = 3x + 6

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Q: Find the linear function with the following properties.

A: A linear function is in the form of y = f(x) = mx+c where m is slope and c is y-intercept.

Q: Let f(x) = x2. Give an equation of the line that intersects the graph of f(x) at x = 0 and x = V2.

A: Given data:     The given function is: f(x)=x2. The first value of x is: x1=0. The second value of x…

Q: Find the linear function whose graph has the given slope and y-intercept. Slope 7; y-intercept 0,…

A: Given, Slope, m = 7 y-intercept =(0,1/3)

Q: Use the Vertical Line Test to determine whether y is a function of x.                 x − y2 = 0

A: According to vertical line test, if on drawing a vertical line at any point on the graph, the line…

Q: If f(x) =x+2, and g(x) =f(x), find the slope of the curve g(x) = f -1 (x) at the point (2, 2).

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Q: The number of people afflicted with the common cold in the winter months dropped steadily by 25 each…

A: As ‘C’ denotes the number of people afflicted with common cold and let ‘t’ be the years after 2002…

Q: The slope y-intercept form of a linear relation is represented by y=mx+by=mx+b.  Which equation…

A: Solution: The objective is to find equation shows x isolated correctly for this formula

Q: Sketch the curve: f(x) = x^4 - 6x^2

A: solution:-f(x)=x4-6x2Domain=(-∞, ∞)x-interceptsy=f(x)=0f(x)=x4-6x2=0x2x2-6=0x2(x+6)(x-6)=0(x+6)=0,…

Q: Use the vertical line test to identify graphs in which y is a function of x. а. b. с. d.

A: Given, Use the vertical line test to identify graphs in which y is a function of x>

Q: The graph of f is perpendicular to the line whose equation is 3x - 2y - 4 = 0 and has the same…

A:

Q: linear functions or not?

A: Given,           A table is shown below :

Q: Find a linear function that approximate f(x) : 27. = x 3 near x =

A: To Determine: find a linear function that approximate f(x). Given: we have function fx=x23 near…

Q: Use the Vertical Line Test to determine whether y is a function of x.                            x +…

A: x+y2=2 The graph is,

Q: The graph of linear function f passes through the point (1,-9) and has a slope of -3.   What is…

A: Given for a linear function , Slope =-3 and passes through (1,-9)

Q: What is the linear function?

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Q: Find the slope of the graph of the function at the given point. f(x) = V1 - x3, (-2, 3) f'(-2) =

A:

Q: find all the values of x at which the curve has a slope of -1. f(x) = 5 +x -3x^2

A: Given function, fx=5+x-3x2 And slope = - 1 i. e. f'x=-1

Q: Suppose that f is a linear function with slope -2 and that f(2) = 6. Find the equation for f. (Use x…

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Q: Let f (x) = Vx. Find the slope m and the point-slope equation of the line tangent to the graph of f…

A: Consider the given function fx=x Suppose m be the slope of the line tangent to the graph of the…

Q: Suppose that f is a linear function with slope 2 and that f(2) = 3. Find the equation for f. (Use x…

A: We have to find linear equation for given data.

Q: Use the vertical line test to identify graph in which y is a function of x.

A: Explanation :- The vertical line test can be used to determine whether a graph represents a…

Q: In physics, the (absolute) pressure P in newtons per square meter at a point h meters below the…

A: Let the equation of pressure represent following equation  P = ah + b   .... (A)