Provide an appropriate response.Prove that the function f is one-to-one.f(x) =  + 5

What will be an ideal response?


Assume that f(a) = f(b) for any numbers a and b in the domain of f. 
Since f(a) =  + 5 and f(b) =  + 5, we have
  + 5 =  + 5
   =  
   a = b
Thus if f(a) = f(b) then a = b and f is one-to-one.

Mathematics

You might also like to view...

Provide an appropriate response. Find the input value that produces an output value of 5 in the function f(x) = x + 1

A. 6
B. 4
C.
D.

Mathematics

Write in scientific notation.162.04

A. 1.6204 × 10-1 B. 1.6204 × 101 C. 1.6204 × 102 D. 1.6204 × 10-2

Mathematics

Use the Intermediate Value Theorem to determine whether the polynomial function has a zero in the given interval.f(x) = 3x3 - 6x2 - 6x + 2; [2, 3]

A. f(2) = -10 and f(3) = -11; no B. f(2) = -10 and f(3) = 11; yes C. f(2) = 10 and f(3) = 11; no D. f(2) = 10 and f(3) = -11; yes

Mathematics

Write the decimal as a fraction or mixed number in lowest terms.0.5

A.
B.
C.
D.

Mathematics