Graph each function in Problems 49–54.
49.
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- In Problems 19–26, sketch the graph of each function. Be sure to label three points on the grapharrow_forwardIn Problems 13–24, determine whether the graph is that of a function by using the vertical-line test. If it is, use the graph to find:(a) The domain and range (b) The intercepts, if any (c) Any symmetry with respect to the x-axis, the y-axis, or the originarrow_forwardIn Problems 85–90, use the Intermediate Value Theorem to show that each function has a zero in the given interval. Approximate the zerocorrect to two decimal places.arrow_forward
- In Problems 49–56, for each graph of a function y = f(x), find the absolute maximum and the absolute minimum, if they exist. Identify any local maximum values or local minimum values.arrow_forwardIn Problems 31–42:(a) Find the domain of each function. (b) Locate any intercepts. (c) Graph each function.(d) Based on the graph, find the range. (e) Is f continuous on its domain?arrow_forwardIn Problems 43–66, find the indicated extremum of each function on the given interval.arrow_forward
- In Problems 49–56, for each graph of a function y = f(x), find the absolute maximum and the absolute minimum, if they exist. Identifyany local maximum values or local minimum values.arrow_forwardIn Problems 61–72, find the numbers at which f is continuous. At which numbers is f discontinuous?arrow_forwardIn Problems 23–28, answer the questions about the given function. x² + 2 26. f(x) = x + 4 23. f(x) = 2x? - x - 1 (a) Is the point (-1, 2) on the graph of f? (b) If x = -2, what is f(x)? What point is on the graph of f? (c) If f(x) = -1, what is x? What point(s) are on the graph of f? (d) What is the domain of f? (e) List the x-intercepts, if any, of the graph of f. (f) List the y-intercept, if there is one, of the graph of f. 24. f(x) = -3x² + 5x (a) Is the point (-1, 2) on the graph of f? (b) If x = -2, what is f(x)? What point is on the graph of f? (c) If f(x) = -2, what is x? What point(s) are on the graph of f? (d) What is the domain of f? (e) List the x-intercepts, if any, of the graph of f. (f) List the y-intercept, if there is one, of the graph of f. x + 2 (a) Is the point ( 1,) on the graph of f? (b) If x = 0, what is f(x)? What point is on the graph of f? (c) If f(x) =5. what is x? What point(s) are on the graph of f? (d) What is the domain of f? (e) List the x-intercepts, if…arrow_forward
- In Problems 63–66, graph each function. Be sure to label any intercepts. [Hint: Notice that each function is half a hyperbola.]arrow_forwardIn Problems 23–30, use the given zero to find the remaining zeros of each function. 23. f(x) = x - 4x² + 4x – 16; zero: 2i 24. g(x) = x + 3x? + 25x + 75; zero: -5i 25. f(x) = 2x* + 5x + 5x? + 20x – 12; zero: -2i 26. h(x) = 3x4 + 5x + 25x? + 45x – 18; zero: 3i %3D 27. h(x) = x* – 9x + 21x? + 21x – 130; zero: 3 - 2i 29. h(x) = 3x³ + 2x* + 15x³ + 10x2 – 528x – 352; zero: -4i 28. f(x) = x* – 7x + 14x2 – 38x – 60; zero:1 + 3i 30. g(x) = 2x – 3x* – 5x – 15x² – 207x + 108; zero: 3iarrow_forwardIn Problems 93–104, graph each polynomial function. 93. f(x) = x + 2r? - 5x - 6 94. f(x) = x' + &r? + 11x – 20 95. f(x) = 2x –x² + 2r – 1 96. f(x) = 2r + x² + 2x + 1 97. f(x) = x* + x² - 2 98. f(x) = x - 3x² – 4 %3D %3D 99. f(x) = 4x* + 7x? – 2 100. f(x) = 4xr + 15x? - 4 101. f(x) = x* + x³ - 3x² - x + 2 %3D %3D %3D 102. f(x) = x* - x - 6r? + 4x + 8 103. f(x) 4x5 - 8x - x + 2 104. f(x) = 4xs + 12x - x - 3arrow_forward
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