Exam 2: Relations, Functions and Graphs

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Graph by plotting points or using the intercept method. x = -2

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Use the following to answer questions : Use the following to answer questions :   -Evaluate f(5). -Evaluate f(5).

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Use the following to answer questions : A quadratic graph is shown. Assume required features have integer values. f(x) = x2 + 2x - 3 Use the following to answer questions : A quadratic graph is shown. Assume required features have integer values. f(x) = x<sup>2</sup> + 2x - 3   (Gridlines are spaced one unit apart.) -Describe the end behavior. (Gridlines are spaced one unit apart.) -Describe the end behavior.

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Use the following to answer questions : f(x) = x2 - 5x and g(x) = x - 2 -State the domain of h(x) = (g ? f)(x).

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For h(x) = For h(x) =   , find two functions f and g such that (f ◦ g)(x) = h(x). , find two functions f and g such that (f ◦ g)(x) = h(x).

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Complete the table using the given equation. Use these points to graph the relation. Complete the table using the given equation. Use these points to graph the relation.    Complete the table using the given equation. Use these points to graph the relation.

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Use the following to answer questions : A driver going down a straight highway is traveling at 70 ft/sec on cruise control when he begins accelerating at a rate of 4.2 ft/sec2. The final velocity of the car is given by the function Use the following to answer questions : A driver going down a straight highway is traveling at 70 ft/sec on cruise control when he begins accelerating at a rate of 4.2 ft/sec<sup>2</sup>. The final velocity of the car is given by the function   , where V(t) is the velocity at time t. -If the car is traveling at 100 ft/sec, for how long did it accelerate? (Round to the nearest tenth of a second.) , where V(t) is the velocity at time t. -If the car is traveling at 100 ft/sec, for how long did it accelerate? (Round to the nearest tenth of a second.)

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Use the following to answer questions : A driver going down a straight highway is traveling at 70 ft/sec on cruise control when he begins accelerating at a rate of 4.2 ft/sec2. The final velocity of the car is given by the function Use the following to answer questions : A driver going down a straight highway is traveling at 70 ft/sec on cruise control when he begins accelerating at a rate of 4.2 ft/sec<sup>2</sup>. The final velocity of the car is given by the function   , where V(t) is the velocity at time t. -Interpret the meaning of the slope and y-intercept in this context. , where V(t) is the velocity at time t. -Interpret the meaning of the slope and y-intercept in this context.

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Write the equation in factored form to find the center and radius of the circle. Then sketch the graph. x2 + y2 + 6x - 8 = 0

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Use the following to answer questions : A line has slope m = Use the following to answer questions : A line has slope m =   and passes through the point P<sub>1</sub> = (2, -4). -Write the equation in function form. and passes through the point P1 = (2, -4). -Write the equation in function form.

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Determine whether the relation represents a function or nonfunction. If a nonfunction, explain how the definition of a function is violated. Determine whether the relation represents a function or nonfunction. If a nonfunction, explain how the definition of a function is violated.   (Gridlines are spaced one unit apart.) (Gridlines are spaced one unit apart.)

(Short Answer)
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Use the following to answer questions : Use the following to answer questions :     (Gridlines are spaced one unit apart.) -Determine the interval(s) where f(x) is increasing, decreasing, or constant. Use the following to answer questions :     (Gridlines are spaced one unit apart.) -Determine the interval(s) where f(x) is increasing, decreasing, or constant. (Gridlines are spaced one unit apart.) -Determine the interval(s) where f(x) is increasing, decreasing, or constant.

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Find the midpoint of the segment with endpoints (5, 7) and (3, -5).

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Use the following to answer questions : f(x) = Use the following to answer questions : f(x) =   and g(x) = 3x - 5 -Find h(x) = (f ◦ g)(x). and g(x) = 3x - 5 -Find h(x) = (f ◦ g)(x).

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Use the following to answer questions : Use the following to answer questions :     (Gridlines on each graph are spaced one unit apart.) -Find (f ∙ g)(-4). Use the following to answer questions :     (Gridlines on each graph are spaced one unit apart.) -Find (f ∙ g)(-4). (Gridlines on each graph are spaced one unit apart.) -Find (f ∙ g)(-4).

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Use the following to answer questions : Use the following to answer questions :     (Gridlines are spaced one unit apart.) -Name the interval(s) where the function is increasing. Write the answer in interval notation. Assume all endpoints have integer values. Use the following to answer questions :     (Gridlines are spaced one unit apart.) -Name the interval(s) where the function is increasing. Write the answer in interval notation. Assume all endpoints have integer values. (Gridlines are spaced one unit apart.) -Name the interval(s) where the function is increasing. Write the answer in interval notation. Assume all endpoints have integer values.

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Sketch the graph using transformations of a parent function (without a table of values). f(x) = (x + 3)2

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Use the following to answer questions : A car rental company charges a flat fee of $21.50 and an hourly charge of $14.50. This means that cost is a function of the hours the car is rented plus the flat fee. -Determine how long the car was rented if the bill came to $152.00.

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Determine whether the function is even using x = k. f(x) = -6x4 + 9x3 - 7

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Determine whether the function is even using x = k. f(x) = 7|x| + 9x2 + 1

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