The path of flight (trajectory) of a football thrown by a quarterback is described by the following function: y(x) = -0.002x2+0.7x+7 where y = vertical position of football relative to the ground (ft) x = horizontal position of football relative to launch position (ft) How high above the ground is the football as it leaves the quarterback’s hand?

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: Graph the function y = x2 over the interval [-2, 2].

A: y=x2 We first make a table for the function x -2 -1 0 1 2 y 4 1 0 1 4

Q: Differentiate the function using the three step rule. Show your solution. f(x)=(x)/(√(x-4))

A: You must have idea about three step differentiation method.

Q: Does the equation 3x + y2 = 10 define y as a function of x?

A: We will solve the equation for y first.

Q: A parking lot charges $2 per hour for the first 4 hours, then $3 per hour after that. Which…

A:

Q: The graph of the linear function f(x) passes through the point (x, y) = (1, m), where m is the slope…

A: Given:Graph of f(x) passes through the point (x, y) = (1, m), where m is the slope of the line.

Q: Its y-intercept is y

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Q: The range of function y=(x² – 1) is

A: on solving this we get the

Q: Find the slope of the curve y = x3 + 8x +14, where the curve crosses the x-axis

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Q: I can’t understand how to find a equation for the function even with the plotted point?

A:

Q: f(x) = -(x + 1).

A:

Q: What is the slope of the graph of f (x) when x = 1?

A: Given: Function f(x).

Q: What is the y-intercept of y=csc x?

A: y=cscx

Q: How do you determine if an equation in x and y defines y as a function of x?

A: To Determine: If an equation in x and y defines y as a function of x. Explanation: If in any…

Q: At most, how many y-intercepts can a function have?Why?

A: A function defines a relationship which says that for each input there only exist a single output .…

Q: What is the y-intercept of the function whose equation is y = 2(3)x?

A: To find y intercept  put x=0

Q: Find the slope of the curve y = 2x* + 3x + 2x? - 1 at a point where it crosses the x-axis

A: The point where y crosses x-axis the value for y is 0. Find the value for x for which y = 0.…

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: The annual fixed costs for owning a small sedan are $1289, assuming the car is completely paid…

A: Let Cx be the total cost function and the number x of miles driven annually. The annual fixed cost…

Q: Find the points on the graph of the function that are closest to the given point. Rx) - х2, (0, 7)…

A: A detailed solution is given below.

Q: The equation that represents the horizontal distance from the rider to the vertical axis as a…

A: Consider a sinusoidal function of the form, y=AcosBx±C±D Here,  A represents the amplitude of the…

Q: Find the point on the graph of y = x2 where the curve has slope -6.

A: Given curve is y=x2. To find the point on the graph of given curve where the slope is -6. Solution:…

Q: The slope of the curve y = 5– 3x² at (-1, 2) is A. 5 С. 6 В. 2/3 D. -3

A:

Q: Determine whether the equation defines y as a function of x. x =  |3y|

A: Given,           x =  |3y|

Q: What are the points of inter section of y = 8 and f(x)

A:

Q: the y intercept of a function f(x) is (0,b). What is the y-intercept of f(x) +k ?

A: Given that the y intercept of a function f(x) is (0,b).f(x)+k means k units higher than f(x). So the…

Q: The original function, f(X) =X², is transformed by a horizontal shift of 2 units to the right. What…

A: The given function is fx=x2. We have to find the transformation of the horizontal shift by 2 units…

Q: What are the graphs of the constant functions x = x0, y = y0, and z = z0 in the rectangular…

A:

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

A: we have to determine whether the equation  4x=y2 defines y as a function of x.

Q: What is the y-intercept of y = secx?

A:

Q: Find the slope of the secant line between x=−1 and x=2 on the graph of the function f(x)=−3x3+4x2+2.

A:

Q: Find the equation of line (L) that passes through the intersection point of the two functions y = v2…

A:

Q: At x = 2, the slope of the curve y = 2x3

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Q: Find the slope of the curve y = 2x* + 3x³ + 2x2 – 1 at a point where it crosses the x-axis

A: y=2x4+3x3+2x2-1 A curve crosses the x-axis at a point where its y-coordinate is zero. Therefore…

Q: Find the slope of the curve given by f(x)=x3e4x at the point (-1,-e-4)

A:

Q: Find the slope of the curve y = x2 + 4x - 10 At the point (2, 3)

A:

Q: A function is given below.  What is the slope of the curve, y, at the point (-3, -11)?…

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Q: Find the point(s) on the graph of y = (x^2 + 3x − 1)/x where the slope is 5

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Q: Determine the set of points (x, y) ∈ R2 where we have y as a function of x according to the equation…

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Q: The pedals of a bicycle are mounted on a bracket whose centre is 25cm above the ground. Each pedal…

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Q: Sketch the curve. Show your solutions. f(x) = x4 - 6x2

A: Consider the given: fx=x4−6x2Apply exponent rule:     ab+c=abacfx=x2x2−6x2Factor out common term…

Q: Determine whether the equation defines y as a function of x :  lxl - y = 2

A: Vertical line test: Vertical line is use to check graph is graph of function or not. Vertical line…

Q: What are the x intercepts to the function y=(x-a)(x+b)?

A: Topic:- algebra

Q: Find an equation for the linear function which has y-intercept -4 and x-intercept 7.

A: The x-intercepts are where the graph crosses the x-axis or y coordinate is zero and at the y…

Q: ) Sketch the curve: f(x) = x* – 6x²

A: Given function is fx=x4-6x2

Q: does this equation define a linear function y=3/4x when x≠0

A: Linear functions are typically written in the form f(x) = ax + b The graph of Linear function  is…

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

A:

Q: The pollution level in the center of a city at 4 am is 22 parts per million and it grows in linear…

A: Form a differential equation of first order and simply solve it.

Q: A rectangular plot requires 2000 ft of fencing to enclose it. If one of its dimension is x (in feet)…

A: