Question

Let f(x) = x2 + 2x + 4. Which of the following statements is NOT true?
A. f(x) has a maximum value
B. The graph of f is not a line
C. The graph of f has no x-intercepts.
D. The graph of f has a y-intercept.

Answer 1

I think it is D, the graph of f has a y-intercept.

Answer 2

And could you explain why you think the answer is D?

Answer 3

it is a parabola opening up. so f(x) has a minimum thus A is not true

Answer 4

Fx has a maximum value because after the variable, the numbers are the same on both sides hence, A is the most accurate choice.

Answer 5

A is not true.
\[f(x)=x^2+2x+4=x^2+2x+1+3=(x+1)^2+3\]
when x=0,f(x)=4
so it has a y-intercept.
when f(x)=0,\[(x+1)^2=-3\]
\[(x+1)=\pm \sqrt{-3}\]
Hence no x-intercept.
it is a quadratic,it is not a st. line.
minimum value of f(x)=3 and is attained at x=-1
so only A is not true.