A friend looks at the graph of y3x and observes that if you start at the origin, the graph increases whether you go to the right or the left, 50 the graph is increasing everywhere Explain why this reasoning is incorrect. Choose the eorrect answer below OA By the efinition of an increasing function, a function is increasing if f(x) (X>) whenever x, X When the friend looks at the graph to the left of 0, this definition is broken. Thus, the function is not increasing everywhere. O B. By the definition of an increasing function, a function is increasing if f(x,)X) whenever x,
A friend looks at the graph of y3x and observes that if you start at the origin, the graph increases whether you go to the right or the left, 50 the graph is increasing everywhere Explain why this reasoning is incorrect. Choose the eorrect answer below OA By the efinition of an increasing function, a function is increasing if f(x) (X>) whenever x, X When the friend looks at the graph to the left of 0, this definition is broken. Thus, the function is not increasing everywhere. O B. By the definition of an increasing function, a function is increasing if f(x,)X) whenever x,
Chapter2: Functions And Their Graphs
Section2.4: A Library Of Parent Functions
Problem 47E: During a nine-hour snowstorm, it snows at a rate of 1 inch per hour for the first 2 hours, at a rate...
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Transcribed Image Text:A friend looks at the graph of y x and observes that if you start at the origin, the graph increases whether you go to the
right or the left, 50 the graph is increasing everywhere Explain why this reasoning is incorrect.
Choose the correct answer below
O A. By the definition of an increasing function, a function is increasing if f(x) (X) whenever x, x When the
friend looks at the graph to the left of 0, this definition is broken. Thus, the function is not increasing everywhere.
O B. By the definition of an increasing function, a function is increasing if f(x,)X>) whenever x, <X When the
friend iooks at the graph to the left of 0, this definition is broken. Thus, the function is not increasing everywhere.
OC. By the definition of an increasing function, a function is increasing if 1(x,) <f(X2) whenever x, X When the
friend looks at the graph to the left of 0, this definition is broken. Thus, the function is not increasing everywhere.
O D. By the definition of an increasing function, a function is increasing if f(x,)<1(X)whenever x, X. When the
friend looks at the graph to the left of 0, this definition is broken. Thus, the function is not increasing everywhere.
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