Question

5 multiple choice 2 points which term describes the set of all possible output values for a function? input output domain range 6 multiple choice 2 points the function f(r) gives the area of a circle with radius r. it can be written in equation form as f(r) = 3.14r². what is f(5)? 28.14 31.40 78.50 246.49

Explanation:

Step1: Recall function concepts

For a function \(y = f(x)\), the input \(x\) values form the domain and the output \(y\) values form the range.

Step2: Substitute \(r = 5\) into \(f(r)=3.14r^{2}\)

Substitute \(r = 5\) into the formula \(f(r)=3.14r^{2}\). We get \(f(5)=3.14\times5^{2}\).

Step3: Calculate \(5^{2}\)

According to the exponent rule \(a^{2}=a\times a\), \(5^{2}=5\times5 = 25\).

Step4: Multiply

Multiply \(3.14\) by \(25\), \(3.14\times25=(3 + 0.14)\times25=3\times25+0.14\times25=75 + 3.5=78.5\)

Answer:

1. D. Range
2. C. 78.50