Digital SAT Math Test 3 Question 10

The function $f$ is defined by $f(x)=2x^3-x^2+4$. What is the value of $f(1)$?
Answer:
B

Explanation

The correct answer is Choice B.

Substitute $x=1$ into the given function to find $f(1)$.

Choice A is incorrect because $f(1)$does not necessarily equal 1.

Choice C is incorrect and may be the result of miscalculating $f(1) $ as$2(1)(3)-(1)(2)+4 $, not $2(1^3)-1^2+4$.

Choice D is incorrect and may be the result of miscalculating $f(1)$ as$2+1+3-1+2+4$, not $2(1^3)-1^2+4$.

✨ Expert's Tip ✨

Another method is to plot the graph of the given function and read the value of the function at $x=3$.

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