If (f(x)=12+5x), what is the value of (f(x+2)-f(x))?
Answer and explanation
Correct answer: 10
Given (f(x)=12+5x), we get (f(x+2)=12+5(x+2)=12+5x+10). Hence, (f(x+2)-f(x)=(12+5x+10)-(12+5x)=10). Option 5 is only the increase per one unit of x, whereas x increases by 2 here. Exam tip: For a linear function, multiply the change in x by the coefficient of x to find the change in the function.
Frequently asked questions
What is the correct answer to this question?
10
Why is this the correct answer?
Given (f(x)=12+5x), we get (f(x+2)=12+5(x+2)=12+5x+10). Hence, (f(x+2)-f(x)=(12+5x+10)-(12+5x)=10). Option 5 is only the increase per one unit of x, whereas x increases by 2 here. Exam tip: For a linear function, multiply the change in x by the coefficient of x to find the change in the function.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Linear growth and decay.
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