If the incoming photon had a frequency of 8.0 E14 Hz, would you have a photo-electron ejected?
Yes
No
Yes.
In fact, from the graph we see that the threshold frequency (the minimum energy of the incoming energy needed to extract a photoelectron from the material) is [tex] 5.0 \cdot 10^{14} Hz [/tex] (we see it because this is the frequency at which the maximum kinetic energy of the emitted electron is zero).
The incoming photon in this problem has a frequency of 8.0 E14 Hz, so above the threshold frequency, therefore it is enough to extract photoelectrons from the material.