Question

Which of the following functions equals 8 when you evaluate f(2)? Select all that apply.

a) f(x)=2x+1
b) f(x)=3x−2
c) f(x)=∣x−8+2∣
d) f(x)=x(5x−2)
e) f(x)=x^2−2x+4

Answer 1

The only function that equals 8 when evaluated at f(2) is option e) f(x)=x^2-2x+4. All other functions do not yield 8 when evaluated with x=2.

Step-by-step explanation:

The student asked which functions equal 8 when you evaluate f(2). To find out, we input x=2 into each function and calculate the result.

1. f(x)=2x+1 becomes f(2)=2(2)+1=4+1=5, which does not equal 8.
2. f(x)=3x−2 becomes f(2)=3(2)−2=6−2=4, which also does not equal 8.
3. f(x)=∠x−8+2∠ turns into f(2)=∠2−8+2∠=∠−6∠=6, which is not equal to 8.
4. f(x)=x(5x−2) becomes f(2)=2(5(2)−2)=2(10−2)=2(8)=16, again not equal to 8.
5. f(x)=x²−2x+4 simplifies to f(2)=2²−2(2)+4=4−4+4=4+4=8, which does equal 8.

Therefore, the correct function that equals 8 when evaluated at f(2) is e) f(x)=x²−2x+4.