Consider the function f(x)=x3-6x+c where C is an unspecified constant. Suppose the line 102x-y=609 is tangent to the graph of y=f(x) at the point P in the first quadrant. Find the value of c

Q: is this a function and why y = x2 + 3

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Q: Shift the function f(x) = x² + 2x + 1 two steps rightward and one step upward. Graph the original…

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Q: Determine whether the equation xy - 5y = 1 defines y as a function of x.

A: Here we determine whether the equation xy-5y=1 defined y as a function of x.

Q: +1. 2. Write down the x-intercept and y-intercept of the function y =

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Q: IDENTIFYING FUNCTIONS 1. Which table does NOT represent y as a function of x? C y y -4 -3 0. -3 -3 2…

A: Given:

Q: Which of the functions has the y-axis as the line of symmetry?

A: Generally we check three kinds of symmetries for the graphs. Symmetry about X axis Symmetry about Y…

Q: Is the point (1, -2) on the graph of the function k(x) = x2 + (2>x)?

A: Given, k(x) = x2 + (2/x) To check Is the point (1, -2) on the graph of the function

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

A: Consider the following equation: x=y2 For x>0 there are two values of y. Substitute x=4 in the…

Q: Show whether the function y=x² is considered as even or odd function

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Q: Draw the function of y = x 2 / 3 + x2

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Q: Determine whether the equation 2x + y = 8 defines y as a function of x.

A: Determine whether the equation 2x + y = 8 defines y as a function of x.

Q: C) (-x,-2]U[2,0) 11. Which equation does not represent y as a function of x? A) 9x = -2y B) -6x + 4y…

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Q: Determine the domain and range of y=1/x2-1

A: It is given that y=1x2-1 and we have to find the range and domain of the given function. For Domain…

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: