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3.1E: Functions and Function Notation (Exercises)
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For the following exercises, determine whether the relation is a function.
1. \(\{(a, b),(c, d),(e, d)\}\) 2. \{(5,2),(6,1),(6,2),(4,8)\}\) 3. \(y^{2}+4=x,\) for \(x\) the independent variable and \(y\) the dependent variable 4. Is the graph in Figure 1 a function?
For the following exercises, evaluate the function at the indicated values:
\[\begin{array}{lllll} f(-3) ; & f(2) ; & f(-a) ; & -f(a) ; & f(a+h) .\end{array} \nonumber\]
5. \(f(x)=-2 x^{2}+3 x\) 6. \(f(x)=2|3 x-1|\)
For the following exercises, determine whether the functions are one-to-one.
7. \(f(x)=-3 x+5\) 8. \(f(x)=\mid x-3\)
For the following exercises, use the vertical line test to determine if the relation whose graph is provided is a function.
For the following exercises, graph the functions.
12. \(f(x)=\mid x+1\) 13. \(f(x)=x^{2}-2\)
For the following exercises, use Figure 2 to approximate the values.
14. \(f(2)\) 15. \(f(-2)\) 16. If \(f(x)=-2,\) then solve for \(x\). 17. If \(f(x)=1,\) then solve for \(x\).
For the following exercises, use the function \(h(t)=-16 t^{2}+80 t\) to find the values in simplest form.
18. \(\frac{h(2)-h(1)}{2-1}\) 19. \(\frac{h(a)-h(1)}{a-1}\)
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Homework Name _____ Period _____ Work through each of the problems below to practice the concepts from today's lesson and review concepts ... Be sure to check your answer, if possible. Show all work. a. 3x + 7 = −x - 1 b. −3x = x − (6 − 2x) x = -2 x = 1 c. Use a diagram of an Equation Mat to explain why −(x − 3) = −x + 3. ...
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3.2.1. > Problem. 3-74. 3-74. For the following equations, solve for x. Be sure to check your answer, if possible. Show all work. Use a diagram of the Equation Mat or some other method to explain why − ( x − 3) = − x + 3. Bringing more math to more students.
Common Core Standard: A-CED.A.3, A-REI.A.1, A-REI.B.3
3.1.1 Selected Homework answers 3.1.2 Selected Homework answers 3.1.3 Selected Homework Answers 3.2.1 Selected Homework Answers 3.2.2 Selected Homework Answers 3.2.3 ...
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