Maths-
General
Easy
Question
For the linear function h, the table above shows several values of x and their corresponding values of h(x). Which of the following defines h ?
The correct answer is:
HINT :- Assume ,let the equation h (x) be in the form ax + b as it is a linear function. Substitute the values in the table and get equations to get the values of a and b . Now, substitute them in the assumed equation ax + b.
let the equation h(x) be in the form ax + b as it is a linear function
Step 1 : Substitute the values in the table and get equations .
ax + b = h(x) let x =2 and h(2) = 1 From the above table.
2a + b = 1 — equation 1.
let x = 4 and h (4) = 7 From the above table.
4a + b = 7 — equation 2.
Step 2: solving equations to get a
Equation 2 - equation 1 we get the following
4a + b - 2a - b = 7 - 1
Step 3:- solving equations to get b.
Substitute the value a= 3 in the equation 1 to get b .
We get h(x) = 3x - 5 by substituting the values of a and b
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