consider the statement below. Linear functions always have one x-intercept. Give an example if the statement is true or a counterexample if the statement is not true

Q: Determine if the two linear functions below are parallel, perpendicular or neither. y = 2 +7 and 5x…

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Q: Write the linear function that is represented in the following table. 1 2 3 f(x) -4 -1 2 M 5

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Q: 2x = 17 is a linear function. O True O False

A: If the graph of the function is a straight line then it is a linear function. Also, a linear…

Q: Which of the following functions are linear? Select all that apply. The function that assigns to…

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Q: Determine whether the given function is linear. If the function is linear, express the function in…

A: f(x)=2x-3x

Q: If f is a linear function for which f(2)= -7 and f(-2)= 13. Find f(4)

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Q: If f(x) is a linear function, f( – 4) = 4, and f(1) - 5, find an equation for f(x). f(x) =

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Q: Which of the following is a linear function? a. f (x) = 2 + x + x2 b. f (x) = 2/x + 7 c. f (x) =…

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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: If f(x) is a linear function, f( – 5): - 4, and f(3) = 2, find an equation for f(x) f(x) = Preview

A: Let f(x) =ax+b then find a and b.

Q: Find the zero of the linear function: (a)  f(x)=x (b)  f(x)=x−6 (c)  f(x)=x+5

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Q: If f(x) is a linear function, f( – 5) = – 4, and f(3) = – 3, find an equation for f(x). f(x) =

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Q: Which equation represents a function that is not linear? 2 (3x + 5) O y 7x By = 3x + 52 3 (4 3x) y =…

A: which equation represent a function which is not linear

Q: Write a linear function f with f (0) = 3 and f (-6) =3. %3D %3D f (2) = D

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Q: For the given linear function, make a table of values and sketch its graph. 9(x) = 3 - 8x 10 -10 - 5…

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Q: Write the linear function f for which f(1) = 3 and f(4) = 0.

A: Write the linear function f for which f(1) = 3 and f(4) = 0.

Q: Determine whether the given function is linear. If the function is linear, express the function in…

A: The given function f(x) = x(4 - x)

Q: If f(x)f(x) is a linear function, f(−4)=−4, and f(2)=4, find an equation for f(x) f(x

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Q: Identify which of the following functions are linear functions. a,b,c and e (a) f(x) = 5x -2…

A: Use the definition of the linear function which states

Q: If f(x) is a linear function, f( – 1) = 2, and f(2) = 3, find an equation for f(x). %3D - f(x) = %3D

A: I have append the formula used in the solution part.

Q: Determine a linear function equation for each table of values. a. b. y -5 7. 4. 4 3. 3 6. -1 10 8 -5…

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Q: The equation below specifies a function with independent variable x. Determine whether the function…

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Q: If f is a linear function,  f(0.1) = 5.4,  and  f(0.4) = −12.3,  find an equation  f(x)  for the…

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Q: If f(z) is a linear function, f(- 1) = 3, and f(4) = - 5, find an equation for f(x). %3D f(x) =…

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Q: f f(x) is a linear function, f( – 5) = - 2, and f(3) : – 4, find an equation for f(x). | f(x) -

A: NOTE: Refresh your page if you can't see any equations. . here f(x) is a linear function  and we…

Q: if f is a linear function for which f(4) = - 12 and f(-4)=20, find f(3) f(3) =

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Q: Consider the linear function f(x) x - 6. (a) Find the intercepts of the graph of f. (b) Graph f.

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Q: Write the linear function that is represented in the following table. 3 f(x) 11 3 -1 H7

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Q: If f(x) is a linear function, f(−5)=3, and f(3)=5, find an equation for f(x)

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Q: Find the linear function with the following properties. f(2) = 10 f(10) = -2

A: We have to find linear function for the given condition: f2=10f10=-2 Let linear function be fx=ax+b…

Q: If f(x) is a linear function, f(−5)=−2f, and f(5)=4f, find an equation for f(x).

A: Given: If f(x) is a linear function, f(−5)=−2f, and f(5)=4f, To determine: An equation for f(x).

Q: Which rule represents a linear function? y = - 5x y = x4 y =x- 1

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Q: If f(z) is a linear function, f(- 3) = - 5, and f(4) = 0, find an equation for f(x) %3D %3D f(2) -

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Q: Determine whether the given function is linear. If the function is linear, express the function in…

A: Given function is: fx=x+12

Q: Find a linear function that generates the values in the given table. 3.1 3.2 3.3 3.4 3.5 y 18.4 19.8…

A: Given the table is

Q: Suppose that f is a linear function such that f(4) = 8 and f(9) = 1. Find the equation for f. f(x)…

A: Solving the problem by finding the equation of f(x).

Q: Find the linear function with the following properties.   f (-1)=-9                        f…

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Q: Write a rule for a linear function y = h(x), given that h (-1) = 9 and h (-2)= -1. Write your anwer…

A: To determine the expression h(x) =Ax+B (linear function, first degree) satisfying the given…

Q: Determine whether the given function is linear. If the function is linear, express the function in…

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Q: Which equation represents a function of x that is not linear? A y = 4(x + 3) В y = 4? + 3x y = 4x +…

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Q: Find the linear function with the following properties. f(-4) = - 11 f(-10) = 3

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Q: write a linear function f with the values f(5)=1 and f(0)=-5 f(x)_________________________

A: Let, the linear function F(x) =ax+b , where a and b are constants. Given condition , f(5)=1 and f(0)…

Q: Let f be a linear function. If f ( 2 ) = 13, and f ( 12 ) = 8, what is the value of f ( 10 ) ?

A: Given : f be a linear function. f2 = 13f12 = 8

Q: a

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Q: If f(x) is a linear function, f(-2)=-1, and f(3)=3, find an equation for f(x) f(x)=

A: since f(x) is a linear function it must in the form f(x) = ax + b Find the value of a and b to find…

Q: Find the linear function with the following properties. f(-6) = – 10 f(-2) = -1

A: Given that f(-6)=-10 and f(-2)=-1 Find the linear function from the given properties

Q: Write the linear function that is represented in the following table. X 1 2 3 4 f(x) -3 -7 -11 -15

A: Let the linear function be f(x) = ax+b The point (1,-3) satisfies the linear function, therefore -3…

Q: Write a linear function f with the given values. f(x) - 决 0. f (x) = D

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Q: If f(x) is a linear function, f( – 4) = 2, and f(5) = 3, find an equation for f(x). f(x) -

A: Given f(x) is a linear function, f(-4)=2 and f(5)=3 we know that f(x)=mx+b is the general form of…

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: