Here is what faith does according to Hebrews 11. Faith:

means the things we offer to God are acceptable to him (v4)
means God accepts us as righteous in his sight (v4)
means that our testimony will live on after we have died (v4)
beats death - in the case of Enoch without him going through physical death (v5)
pleases God (v6)
condemns the anti-God world with its trust in God (v7)
brings righteousness (v7)
leads us to go places with God that we don't yet know (v8)
leads us to accept living in alien places and difficult circumstances for God (v9)
expects and sees miracles - in Abraham and Sarah's case a humanly impossible child (v11)
produces confidence that God will work all things for good even if we don't see the outcomes before we die (v13)
means God is not ashamed to be called our God (v16)
enables us to make difficult sacrifices for God (v17)
looks forward with expectation of God doing great things in the future (v20 & 22)
leads us to worship at the end of our lives when we are dying (v21)
means we do what God says even if authorities tell us to do otherwise and it leads us into danger (v23)
leads us to forsake worldly opportunity for the sake of God, God's kingdom and God's people (v24)
leads us to forsake the pleasures of sin (v25) and worldly treasure (v26)
empowers us to accept disgrace for the sake of Christ (v26)
enables us to see God and thereby persevere (v27)
protects us from judgement (v28)
protects us from persecution (v29)
enables us to take strongholds for God (v30)
enables risk-taking for God (v31)
conquers kingdoms, administers justice, gains the promise of God, shuts lions mouths, quenches flames and provides escape from the sword, makes us powerful (v32-33)
turns weakness to strength (v34)
raises the dead (v35)
enables those whom God chooses not to rescue to endure through death in order to gain a better resurrection (v35)
gives strength in the face of jeers, flogging and prison (v36)
gives strength in the face of horrendous ill-treatment and execution (v37)
means that the world is not worthy of the children of God (v38)
looks forward with eagerness to what God has promised (v39-40)

Do you think this list would have suitably strengthened the faltering hearts of the Hebrews who read this letter? Does it strengthen yours?