Question Write the linear function f with the values f(1) = 1 and f(-3) = 17. (Note: Use f(x) instead of y.) Show work to get full credits.

Given: f(1) = 1 and f(-3) = 17 To find: The lines function f. Solution: If f(a) = b, it means the function f passes through (a,b). Here, f(1) = 1, it means the function f passes through (1,1). f(-3) = 17, it means the function f passes through (-3,17). If a linear function passes through two point , then the equation of line is The linear function f passes through (1,1) amd (-3,17). So, the equation of linear function is Add 1 on both sides. Put y=f(x), to write in function notation. Therefore, required lines function is . Reply

Given:f(1) = 1 and f(-3) = 17

To find:The lines function f.

Solution:If f(a) = b, it means the function f passes through (a,b).

Here, f(1) = 1, it means the function f passes through (1,1).

f(-3) = 17, it means the function f passes through (-3,17).

If a linear function passes through two point , then the equation of line is

The linear function f passes through (1,1) amd (-3,17). So, the equation of linear function is

Add 1 on both sides.

Put y=f(x), to write in function notation.

Therefore, required lines function is .