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# CONSIDER THE INTERVAL [0, ). FOR EACH NUMERICAL VALUE BELOW...

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Author: Carol 96
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CONSIDER THE INTERVAL [0, ). FOR EACH NUMERICAL VALUE BELOW, IS IT IN THE INTERVAL OR NOT?

Consider the interval [0, ). For each numerical value below, is it in the interval or not?(Just answer Yes or No)3−33_______(Yes or No)– 1 4 _______| –18.5 | _______-7 –3 _______(Yes or No)(Yes or No)(Yes or No)2. (4 pts) Given () = √ − 3 and () = − 4, which of the following is the domain of thequotient function f / g ?(No work required)2._______(3,A.∞)B. [3, ∞)C. [3, 4) ∪ (4, ∞)D. (−∞, 4) ∪ (4, ∞)3. (8 pts) Consider the points (–5, 3) and (1, -9).(a) State the midpoint (same notation as the endpoints) of the line segment with the given endpoints. (Nowork required)(b) If the point you found in (a) is the center of a circle, and the other two points are points on the circle, findthe length of the radius of the circle. (That is, find the distance between the center point and a point on thecircle.) Find the exact answer and simplify as much as possible. Show all work. 4. (12 pts) Analyze each of the four graphs as requested below.(no explanation required.)(A)(B)Is the graph symmetric with respect to theIs the graph symmetric with respect to thex-axis? ____x-axis? ____y-axis? ____origin? ____y-axis? ____origin? ____(State Y for Yes or N for No in each blank.)(State Y for Yes or N for No in each blank.)Does the graph represent a function?Yes or No: _____Does the graph represent a function?Yes or No: _____If the graph does represent a function, is the functioneven, odd, or neither even nor odd?(choose one, if applicable).If the graph does represent a function, is the functioneven, odd, or neither even nor odd?(choose one, if applicable).(C)(D)Is the graph symmetric with respect to thex-axis? ____y-axis? ____origin? ____(State Y for Yes or N for No in each blank.)Does the graph represent a function?Yes or No: _____If the graph does represent a function, is the functioneven, odd, or neither even nor odd?(choose one, if applicable).Is the graph symmetric with respect to thex-axis? ____y-axis? ____origin? ____(State Y for Yes or N for No in each blank.)Does the graph represent a function?Yes or No: _____If the graph does represent a function, is the functioneven, odd, or neither even nor odd?(choose one, if applicable). 5. (4 pts) For income x (in dollars), a particular state's income tax T (in dollars) is given by0.028() = { 112 + 0.035( − 4,000)812 + 0.050( − 24,000)0 ≤ ≤ 4,0004,000 < ≤ 24,000> 24,000What is the tax on an income of \$42,000? Show some work.6. (16 pts) Consider the following graph of y = g (x).(no explanations required)(a) State the x-intercept(s).(b) State the yintercept(s).(c) State the domain.(d) State the range.(e) State the value of g(4).(f) State the interval(s) on which the function is decreasing. That is, for what x-values is thefunction decreasing? 7. (14 pts) Let y = 5 2x2.(a) Create a table of sample points on the

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