Determine whether each statement is true or false, and explain why The function ƒ(x) = 2x2 + 3 represents a linear function

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

A:

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

A: The given function is,

Q: In the same coordinate plane, sketch the graph of each function. a. f(x) = 3x b. g(x) = 9x

A: Given: fx=3x, gx=9x For drawing graph of given function fx and gx on same coordinate plane, we will…

Q: Find the slope and y-intercept of the linear function f(x) : should be an ordered pair or…

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Q: For the given linear function, make a table of values and sketch its graph. gx)-7- 3x

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Q: An account executive receives a base salary plus a commission. On $20,000 in monthly sales, an…

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Q: Determine whether each statement is true or false, and explain why A linear function is an example…

A: Given that "A linear function is an example of a polynomial function."

Q: Determine whether the equation defines y as a function of x : x2 + y2 = 16

A: Therefore for each value of x, there exist two different values of y.

Q: Is f (x) = (3x - 2) - (2x + 1) a linear function? Explain your answer.

A: To check: Whether the given function is linear or not. Given information: The function is…

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

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

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

A: See the details solution in below

Q: Determine whether the equation defines y as a function of x : x + y3 = 27

A: x + y3 = 27 Yes, the given equation defines y as a function of x.

Q: Graph the linear function f(x) = - 2x/3.

A:

Q: In the linear function f(x)=25x+75, what does the 75 represent?

A: The linear function is given by fx = 25x+75 To determine : The meaning of constant term 75 in the…

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: The z-intercept of the linear function

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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: Determine whether the equation defines y as a function of x. y = (3x - 1) / ( x + 2)

A: Given: y=3x-1x+2

Q: An account executive receives a base salary plus a commission. On $40,000 in monthly sales, an…

A: Given: An account executive receives a base salary plus a commission. On $40,000 in monthly sales,…

Q: For Exercise, graph the function. 2x* v(x) x² + 9

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Q: Graph the linear function f(x) = - 4x. Identify if it is a constant function. Give the domain and…

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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: Graph the linear function. f(x)=1/4x+5

A: f(x)= (1/4)x+5Lets make a table for this function.Took x=0,4 and -4, found values of ys for those xs…

Q: Determine whether the equation defines y as a function of x. 2x - 4y2 = 3

A: To Determine whether the equation defines y as a function of x. 2x - 4y2 = 3

Q: Graph the linear function: f(x) = - (3/2)x + 2.

A: Solution -  The given linear function is - f(x) = -32x + 2 Domain of the function - R (all real…

Q: Determine a linear function equation for each table of values. a. b. 2.

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

Q: The manager of a furniture factory finds that it costs $2600 to manufacture 70 chairs in one day and…

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Q: 3. f(x) =-4x-1

A:

Q: Determine whether the given function is linear.

A: g(x)=x+35

Q: Use the slope and the y-intercept to graph the linear function f(x) = 1/4 x - 3.

A: To graph the linear function f(x) = 14x - 3.

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

A: Given function is: fx=x+12

Q: Classify the function as linear, interaction, or neither. P(x1, x2, x3) = 0.9 + 8x1 − x3

A: The given function is

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

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Q: Use the graphs of piecewise- linear function y=f(x) and the linear function y=g(x) to answer the…

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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). -

A: Given that ; f(x) is a linear function. When we draw a line then equation of line has two variables…

Q: . Identify each function f as constant, linear, or nonlinear. (a) f(x) = -1.4x + 5.1 (b) f(x) = 25…

A: To identity each function as constant, linear or nonlinear. Explanation: Linear function: A linear…

Q: Determine whether each equation defines y as a function of x y=x^2-3x+7

A:

Q: Graph the linear function: f(x) = (3/5)x + 1.

A: Given :            fx=35x+1

Q: 1 3 5 f(x)

A:

Q: Determine whether statement is true or false, and explain why. The function ƒ(x)   =   2x 2 +  3…

A: We need to state wheather the given statement if true or false with proper explanation.

Q: determine whether the equation defines y as a function of x.   y2 = 4 - x2

A: Given: y2=4-x2

Q: Determine whether the equation defines y as a function of x. x3 - y3 = 27

A: Given, x3-y3=27     Determine whether the equation defines y as a function of x:

Q: Determine whether each equation defines y as a function of x: a. x2 + y = 4    b. x2 + y2 = 4.

A: Given:

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…

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: