1. Function: yes 2. Function: yes 3. Function: no Domain: -4 x Domain: all Reals Domain: -2 x 4 ≤ ≤ ≤ Range: y = 2 Range: all Reals Range: -5 y 4 ≤ ≤ 4. Function: yes 5. Function: yes 6. Function: no Domain: all Reals Domain: all Reals Domain: x 6 ≤ Range: all Reals Range: -4 y Range: -5 y ≤ ≤ 7. Function: yes 8. Function: no Domain: {256, -256, 81, -81, 16, -16, 1, -1} Domain: {3, 2, 1, 0} Range: {4, 3, 2, 1} Range: {-27, -8, -1, 0, -1, 8, 27} 9. 13, 100,000 vehicles 10. 950,000 vehicles 11. 600,000 personnel 12. 110,000 13. yes 14. no 15. no 16. yes 7.3 Piecewise Functions A function is a function that comes in multiple pieces. Below are examples “piecewise” of piecewise functions: The function f(x) graphed below. The function f(x) with equation: Questions: 1) Based on the graph and the equation, calculate each of the following values. a) f(0) = ______________ b) f(6) = ______________ c) = ______________ d) = ______________ f(-1) f(-5) 2) What is the value of x when f(x) = -1?
1. Function: yes Domain: -4 ≤ x Range: y = 2 2. Function: yes Domain: all Reals Range: all Reals 3. Function: no Domain: -2 ≤ x ≤ 4 Range: -5 ≤ y ≤ 4 4. Function: yes Domain: all Reals Range: all Reals 5. Function: yes Domain: all Reals Range: -4 ≤ y 6. Function: no Domain: x ≤ 6 Range: -5 ≤ y 7. Function: yes Domain: {256, -256, 81, -81, 16, -16, 1, -1} Range: {4, 3, 2, 1} 8. Function: no Domain: {3, 2, 1, 0} Range: {-27, -8, -1, 0, -1, 8, 27} 9. 13, 100,000 vehicles 10. 950,000 vehicles 11. 600,000 personnel 12. 110,000 13. yes 14. no 15. no 16. yes 7.3 Piecewise Functions A “piecewise” function is a function that comes in multiple pieces. Below are examples of piecewise functions: The function f(x) graphed below. The function f(x) with equation: Questions: 1) Based on the graph and the equation, calculate each of the following values. a) f(0) = ______________ b) f(6) = ______________ c) f(-1) = ______________ d) f(-5) = ______________ 2) What is the value of x when f(x) = -1?
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