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f (x) = 2x + 1
The function f is defined by the equation above.
Which of the following is the graph of y = − f (x) in the xy-plane?
The function f is defined by the equation above.
Which of the following is the graph of y = − f (x) in the xy-plane?
- a)
- b)
- c)
- d)
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
f (x) = 2x + 1The function f is defined by the equation above.Which of...
The graph of y = −f(x) is the graph of the equation y = −(2x + 1), or y = −2x − 1. This should be the graph of a decreasing exponential function. The y-intercept of the graph can be found by substituting the value x = 0 into the equation, as follows: y = −20 − 1 = −1 − 1 = −2. Therefore, the graph should pass through the point (0, −2). Choice C is the only function that passes through this point.
Choices A and B are incorrect because the graphed functions are increasing instead of decreasing. Choice D is incorrect because the function passes through the point (0, −1) instead of (0, −2).
Choices A and B are incorrect because the graphed functions are increasing instead of decreasing. Choice D is incorrect because the function passes through the point (0, −1) instead of (0, −2).
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f (x) = 2x + 1The function f is defined by the equation above.Which of...
The graph of y = −f(x) is the graph of the equation y = −(2x + 1), or y = −2x − 1. This should be the graph of a decreasing exponential function. The y-intercept of the graph can be found by substituting the value x = 0 into the equation, as follows: y = −20 − 1 = −1 − 1 = −2. Therefore, the graph should pass through the point (0, −2). Choice C is the only function that passes through this point.
Choices A and B are incorrect because the graphed functions are increasing instead of decreasing. Choice D is incorrect because the function passes through the point (0, −1) instead of (0, −2).
Choices A and B are incorrect because the graphed functions are increasing instead of decreasing. Choice D is incorrect because the function passes through the point (0, −1) instead of (0, −2).
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f (x) = 2x + 1The function f is defined by the equation above.Which of the following is the graph of y = − f (x) in the xy-plane?a)b)c)d)Correct answer is option 'C'. Can you explain this answer?
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