For each statement (a) through (g), if it is true, write the word "True." Otherwise, write the word "False." No explanation is necessary.
(a) The graph of a rational function can never cross its oblique asymptote.
(b) If the real number LaTeX: cc is a zero of the denominator of a rational function, then the line LaTeX: x=cx = c must be a vertical asymptote of the function's graph.
(c) A real number LaTeX: cc is a zero of a polynomial function LaTeX: f\left(x\right)f ( x ) if and only if LaTeX: x-cx ? c is a factor of LaTeX: f\left(x\right)f ( x ).
(d) Every polynomial function of degree LaTeX: nn (LaTeX: n\ge1n ? 1) has LaTeX: nn real zeros.
(e) Every graph of a polynomial function of degree LaTeX: nn (LaTeX: n\ge1n ? 1) has LaTeX: n-1n ? 1 turning points.
(f) Every real number is a complex number.
(g) LaTeX: \sqrt{-25}=\pm5i
(a) The graph of a rational function can never cross its oblique asymptote.
(b) If the real number LaTeX: cc is a zero of the denominator of a rational function, then the line LaTeX: x=cx = c must be a vertical asymptote of the function's graph.
(c) A real number LaTeX: cc is a zero of a polynomial function LaTeX: f\left(x\right)f ( x ) if and only if LaTeX: x-cx ? c is a factor of LaTeX: f\left(x\right)f ( x ).
(d) Every polynomial function of degree LaTeX: nn (LaTeX: n\ge1n ? 1) has LaTeX: nn real zeros.
(e) Every graph of a polynomial function of degree LaTeX: nn (LaTeX: n\ge1n ? 1) has LaTeX: n-1n ? 1 turning points.
(f) Every real number is a complex number.
(g) LaTeX: \sqrt{-25}=\pm5i
