Which function is represented by the graph? f(x) = −2|x| + 1 f(x) = |x| + 1 f(x) = -2|x + 1| f(x) = |x + 1|
Answer:
A : f(x) = −2|x| + 1
Step-by-step explanation:
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The required function is f(x) = -2|x| + 1 shown by the graph. Option A is correct.
Which function is represented by the graph to determine.
A. f(x) = −2|x| + 1 B. f(x) = |x| + 1 C. f(x) = -2|x + 1| D. f(x) = |x + 1|.
The graph is a demonstration of curves that gives the relationship between the x and y-axis.
For A, f(x) = −2|x| + 1 at x = 0
f(x) = -2|0| + 1
f(x) = 1
and at x = 0.5
f(x) = -2|0.5|+1
f(x) = -1+1
f(x) = 0
here the outcomes for every x is as shown on the graph
similarly, For option B f(0) = 1 but f(0.5) = 1.5
For option C f(0) = -2
For option D f(0.5) = 1.5
Thus,the required function is f(x) = -2|x| + 1 shown by the graph. Option A is correct.
Learn more about graphs here:
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