For Exercises 129–134, use a graphing utility to graph the piecewise-defined function.
Is there actually a “"graph”" in the graph at x =2?
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College Algebra Essentials
- Nath 1314 Lab Module 1 -3x+5 if x<1 10. For the function f(x) = %3D Vx-1 if x21 a. Evaluate f(-1) b. Evaluate f(1) c. Evaluate f(0) -9 -8 -7 -6 -5-4 -3 -2 d. Evaluate f(5) e. Graph the function.arrow_forwardIn Exercises 43 and 44, graph the functions. Notice in each case that the numerator and denominator contain at least one com- mon factor. Thus you can simplify each quotient; but don't lose track of the domain of the function as it was initially defined. x + 2 x² - 4 43. (a) y (b) y = (c) y = X + 2 X-2 X-1 (x - 1)(x-2)arrow_forwardThe graph of f(x)=-x-5x+6 has the point (1, 0) on it. True O Falsearrow_forward
- Introduction 1. Determine whether the function is even, odd, or neither a. f(x) = 5 – 3x b. f(x) = x* – x² – 1 c. f(x) = 2x³ + 3x Domain, Range and Graphing 2. Find the domain, range for f(x) = x² + 4x + 4 and graph 3. Find the domain, range for f(x) = 2x-3 5-4x and graph 4. Find the domain, range for f(x) = V9x2 – 16 and graph 5. Find the domain for f(x) = log2(x + 2) – 3 Transformation of Graph 6. Use graph of f(x) = x³ to sketch the graph of each function a. f(x) = x3 – 1 b. f(x) = (x + 2)³ +1 7. Sketch the graph for f(x) = -5sinx + 3 Composite Function 8. Solve the following set of function (please simplify): x3 + x2 + 2x f(x) = -,g(x) = 2x² + 2, h(x) = v6x +3 %3D x +1 a. (f • g)x b. (g o h)x Piecewise Defined Function 9. Find the domain, range of the set of piecewise defined function and graph h(x) = {2, x 3 10. Find the domain, range of the set of piecewise defined function and graph x< 2 x2 2 4-x, 1 + 2x, f(x) =arrow_forwardFind f(-3), given f(x) -2 -1 if xs (3x+1 if >-1 -11arrow_forwardExpress each function graphed at the right in terms of f (x). 9 (2) mx) O 2f (x) O f (2x) O f(x) + 2 O f(r +2)arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage