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

Q: What value of x makes the relation {(1,5), (x, 8), (-7,9)} a function?

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Q: Suppose that f is a linear function with slope -3 and that f(2) = 6. Find the equation for f. (Use x…

A: Equation of a linear function: f(x)=mx+c ..............(1) where: m is the slope and c is the…

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

A: Given: sketch the linear function

Q: Find the slope of the graph of the function at the given point. f(x) = 2x4 − 4x3 + 6x2 − 14x; (1,…

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Q: 2 Find the slope of the function f(x) = x 3 at x = - 3. -27 27 81

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Q: sketch a graph of the linear function f(t)= 2t - 5

A: See the details solution in below

Q: Find the domain for the function. X-3 V3x-2 a) (-0, 00) b) (- ∞, 3) U (3, 0)

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Q: True or False The graph of a function y = f1x2 alwayscrosses the y-axis.

A: Given : Statement : The graph of a function y=f(x) always crosses the y-axis. Determine the given…

Q: The graph of f is perpendicular to the line whose equation is 4x - y - 6 = 0 and has the same…

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Q: Suppose that f is a linear function with slope 3 and that f(4) = 5. Find the equation for f. f(x) =…

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Q: The graph of function f(x) = x³ 6x2 + 9x + 1 is concave upward on (-∞, 2) (-0, 0) (2, оо) о (-2, 2)

A: f is concave up when f''(x) is greater than 0

Q: The z-intercept of the linear function

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Q: Suppose that f is a linear function with slope -3 and that f(2) = 8. Find the equation for f. f(x) =

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Q: If line p represents the function (x) = 3x- 5, line represents f(x). %3D

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

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: 20 The slope of the function ƒ(x) = 5x - 5 is ______. 1 -5 5 -1

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Q: a young person should sleep 8 hours plus 1/4 hour for each year the person is under 18 years of age.…

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

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Q: Write the linear function in slope-intercept form satisfying the given conditions: Graph of g passes…

A: It is given that the required linear function is perpendicular to thegiven equation x+3y-6=0and…

Q: Find the range of the function f(x) = 1/3x-5, if the domain is { -3, 0, 6}

A: f(x)=13x-5Domain is -3,0,6substitute x=-3f(-3)=13(-3)-5=1-9-5=-114

Q: The graph of a linear function f is shown. ldentify the slope. Ay 5- A. -4- О В. 3 -3- 2- Oc. O D.…

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Q: Find the slope of the graph of the function at a given value. f(x) = -3x2 + 8x - 6/x2 when x = 5.

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Q: Find the slope of the graph of the function at the given point.                       f(x) = √(1 −…

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Q: Consider the function f(x) = 4/¤ + 2 on the interval [4, 5].

A: Given function is, f(x)=4x+2

Q: Is the point (3, 12) on the graph of the function g(x) = x2 + 5x - 10?

A: Given function, g(x)=x2+5x-10

Q: Suppose that f is a linear function with slope -3.2 and that f(3) = 4. What value of x gives f(x) =…

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Q: The graph of f passes through (-6, 4) and is perpendicular to the line that has an x-intercept of 2…

A: The graph of f passes through (-6, 4) and is perpendicular to the line that has an x-intercept of 2…

Q: What happens if we multiply two linear functions together? For the example shown, estimate the…

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Q: Find the slope of the graph of the function at the given point. f(x) = V8 - x3, (-2, 4) f'(-2) =

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Q: Suppose f is a linear function such that f(3) = 5 and f(9) = -4. Find the equation for f. (Use x as…

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Q: Find the points on the graph of the function that are closest to the given point f(x) = x2 – 7, (0,…

A: Consider the provided function, fx=x2-7,   0,-5 The distance formula is D=x2-x12-y2-y12 . We can…

Q: Write the linear function in slope-intercept form satisfying the given conditions: Graph of f passes…

A: we have to write the linear function in slope intercept form satisfying the given conditions: graph…

Q: Suppose that the selling price p of an item for the quantity x sold is given by the function p=-1/5…

A: Revenue, R(x) = Price x Quantity Hence, R(x) = [-(1/5)x + 50]x = 50x - (1/5)x2

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: Suppose f is a linear function such that f(2) = 5. If the slope of f is 2.7, then what is f(6)? f(6)…

A: We have to find function value

Q: 11. Construct a linear function that represents the table of values shown.

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Q: 9 The slope of the function ƒ (x) = 8 - 2x is _____. -8 -2 2 8

A: here we have to find the slope of function  so we have to find dy/dx so differentiate the function

Q: The graph of f passes through (-1, 5) and is perpendicular to the line whose equation is x = 6.Write…

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Q: Find the relative extreme values of the function f(x) = - - 6x + 5.

A: Calculate f'(x) and f''(x) for f(x)=x33-x22-6x+5 as follows.…

Q: Graph the linear function Give the domain and range. f(x)=-4x+2

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

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

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Q: The graph of a certain functionf has slope 4x³ – 5 at the point (1,2). Find the function f.

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Q: The domain of the function, y = 3x + 1 is {1, 3, 5, 7}. Identify the range

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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: Suppose f is a linear function with slope -5 and f(2)=9 find the equation for f

A: The objective is to find the equation for f.

Q: Write the linear function in slope-intercept form satisfying the given conditions: Graph of g passes…

A: The required equation is y = mx + c If two lines are perpendicular then slope of two lines…

Q: The graph of f(x)=x^2 rises or falls to the left? And does it rise or fall to the right?

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Q: Suppose f(-3) = -8 and f(-1) = 2. Determine the linear function represented by these values.

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Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.