state the equation of the axis of symmetry for the function, if it exists.\nselect the correct choice below…
state the equation of the axis of symmetry for the function, if it exists.\nselect the correct choice below and, if necessary, fill in the answer box to complete your choice.\na. the equation for the axis of symmetry is\nb. there is no axis of symmetry.
Answer
Explanation:
Step1: Identify the function type
The graph shows an exponential or logarithmic-style curve with a horizontal asymptote.
Step2: Check for vertical symmetry
A vertical axis of symmetry requires $f(c - x) = f(c + x)$, which is not present.
Step3: Check for horizontal symmetry
The function is not a parabola opening sideways; it does not repeat values across a horizontal line.
Step4: Evaluate the existence of symmetry
The curve is strictly increasing and approaches a horizontal asymptote, lacking any line of reflection.
Answer:
B. There is no axis of symmetry.